
question_answer1) A rectangular sheet of paper is rolled along its longer side to form a cylinder. Find the volume of the cylinder so formed.
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B) done
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C) done
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D) done
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E) None of these done
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question_answer2) A metallic right circular cone of radius 7 cm and height 9 cm is melted and recast into a cuboid whose two sides are 11 cm and 6 cm. The third side of the cuboid is:
A) 6 cm done
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B) 22 cm done
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C) 7 cm done
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D) 14 cm done
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E) None of these done
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question_answer3) A cylindrical road roller made of iron is 1 m wide, its inner diameter is 54 cm and thickness of the iron sheet rolled into the road roller is 9 cm. Find the weight of the roller if I c.c. of iron weighs 8 g.
A) 1425.60 kg done
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B) 1435.24 kg done
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C) 1429.75 kg done
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D) 1414.29 kg done
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E) None of these done
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question_answer4) Two cylinders of same volume have their radii in the ratio. What will be the ratio of their height?
A) 2: 3 done
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B) 1: 3 done
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C) 3: 4 done
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D) 1: 2 done
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E) None of these done
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question_answer5) The dimension of the James guest room is . He wants to fix a pole in his room so that he can hang some important posters on it. He wants that the room should contain maximum number of the posters on it. The length of the longest pole he can fit in his room is:
A) 21.36 m done
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B) 20.44 m done
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C) 22.56 m done
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D) 20.98 m done
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E) None of these done
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question_answer6) If the area of the three adjacent faces of a room is p, q, r respectively, then the volume of air in the room is:
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer7) The volume of a cylinder is and height 7 cm. Find its total surface area.
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer8) Find the weight of a cubical wooden block of length 60 cm if weight of 1 cubic metre of wooden block is 900 kg.
A) 192.36 kg done
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B) 198 kg done
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C) 196.50 kg done
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D) 194.40 kg done
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E) None of these done
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question_answer9) Three cubes of metal with edges 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the lateral surface area of the new cube so formed.
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B) done
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C) done
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D) done
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E) None of these done
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question_answer10) A tunnel has radius 4 cm and 2 cm at upper and lower ends respectively and slant height is 5 cm. Find the total surface area of the tunnel.
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B) done
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C) done
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D) done
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E) None of these done
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question_answer11) Peter is a farmer and wants to buy a field which is in the shape of a trapezium. Its side along the river is parallel to the river bank and twice the side along the road. If the area of the field is and the perpendicular distance between the two parallel sides is 100 m, the of side along the river is:
A) 74 m done
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B) 168 m done
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C) 148 m done
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D) 84 m done
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E) None of these done
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question_answer12) The external diameter of an iron pipe is 25 cm and its length is 20 cm. If the thickness of the pipe is 1 cm, find the sum of inner and area of the pipe.
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer13) A cylinder that is open at both ends is made of 1.5 cm thick metale. Its external diameter is 12 cm and height is 84 cm. The volume of metal in making the cylinder is:
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer14) A rectangular block of ice measures 40 cm by 25 cm by 15 cm. Calculate its weighs if ice weighs of the weight of the same volume of water and 1 cm3 of water weighs 1 g.
A) 12 kg done
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B) 13.5 kg done
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C) 15 kg done
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D) 145 kg done
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E) None of these done
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question_answer15) A room is in the form of a cuboid of measures. How many cuboidal boxes can be stored in it if the volume of one box is?
A) 75000 done
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B) 65000 done
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C) 60000 done
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D) 90000 done
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E) None of these done
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question_answer16) The earth taken out from a pit is evenly spread over a rectangular field of length 90 m and width 60 m. If volume of the earth dug is then the field is raised by:
A) 57 cm done
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B) 52 cm done
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C) 59 cm done
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D) 60 cm done
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E) None of these done
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question_answer17) If the rainfall on a certain day was 5 cm, then how many litres of water fell on 1 hectare field on that day?
A) 5000 done
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B) 500000 done
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C) 450000 done
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D) 550000 done
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E) None of these done
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question_answer18) What is the weight (in kg) of a cubical block of ice 50 cm in length if one cubic metre of ice weighs 900 kg?
A) 110 done
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B) 115 done
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C) 112.5 done
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D) 125 done
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E) None of these done
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question_answer19) A beam 5 m long and 40 cm wide contains 0.6 cubic metre of wood How thick is the beam?
A) 20 cm done
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B) 30 cm done
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C) 50 cm done
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D) 70 cm done
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E) None of these done
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question_answer20) The paint in a certain container is sufficient to paint an area equal to 9.375. How many bricks measuring can be painted out of this container?
A) 90 done
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B) 105 done
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C) 110 done
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D) 100 done
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E) None of these done
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question_answer21) Length of a class room is two times its height and its breadth is times its height. The cost of white washing the walls at the rate of Rs 1.60 per m2 is Rs 179.20. Find the cost of tiling the floor at the rate of Rs 6.75 per.
A) Rs 324 done
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B) Rs 350 done
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C) Rs 420 done
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D) Rs 400 done
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E) None of these done
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question_answer22) The dimension of a metallic cuboid are . It is melted and recast into a cube. Find the surface area of the cube.
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer23) The length of a cold storage is double its breadth. Its height is 3 meters. The area of its four walls (including doors) is . Find its volume.
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer24) The diameter of the base of a right circular cylinder is 42 cm and its is 10 cm. Find its total surface area,
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer25) In a temple, there are 25 cylindrical pillars. The radius of each pillar is 28 cm and height 4 m. Find the total cost of painting its outer surface at Rs 8 per.
A) Rs 1400 done
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B) Rs 1525 done
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C) Rs 1408 done
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D) Rs 1309 done
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E) None of these done
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question_answer26) The curved surface area of a right circular cylinder of height 14 cm is . The diameter of its base is:
A) 2 cm done
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B) 1 cm done
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C) 2.5 cm done
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D) 1.5 cm done
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E) None of these done
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question_answer27) The radii of two right circular cylinders are in the ratio 2: 3 and their heights are in the ratio 5:4 calculate the ratio of their curved surface areas.
A) 6: 5 done
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B) 5: 9 done
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C) 6: 11 done
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D) 5: 4 done
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E) None of these done
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question_answer28) A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 91 cm and length is 1.25 m.
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer29) An iron pipe 20 cm long has exterior diameter equal to 25 cm. If the thickness of the pipe is 1 cm, then find the whole surface area of the pipe.
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer30) The lateral surface area of a hollow cylinder is. It is cut along its height to form a rectangular sheet of width 32 cm. Find the perimeter of rectangular sheet.
A) 339 cm done
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B) 328 cm done
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C) 340 cm done
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D) 315 cm done
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E) None of these done
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question_answer31) A cuboidal tank is made by digging earth whose length is 4 metre, breadth is 3 metre and height is 2.5 metre. Find the length of its diagonal.
A) 5.59 m done
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B) 6.2 m done
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C) 7.5 m done
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D) 7.12 m done
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E) None of these done
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question_answer32) Find the total surface area of a cubical wooden block whose length of the diagonal is metre.
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer33) Find the volume of a water tank whose length is 3 metre, breadth is 2.5 metre and height is 1.5 metre.
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer34) Find the volume of a cylindrical can whose radius is 3.2 cm and height is 5.6 cm.
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B) done
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C) done
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D) done
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E) None of these done
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question_answer35) Find the total surface area of the figure given below,
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer36) A pillar of the metro bridge is 5 metre in diameter and height is 8.4 metre. Find the curved surface area of the pillar.
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer37) Find the volume of the figure given below such that the radius of the base of cone is 5.6 cm and the height of cylindrical and conical parts are 6.2 cm and 11.4 cm respectively.
A) done
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B) 1685.4 done
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C) 1695.4 done
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D) 985.6 done
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E) None of these done
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question_answer38) A letter ?T? shape is made by sticking together 2 cuboids as shown in the diagram. What is the total volume of the letter ?T??
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B) done
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C) done
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D) done
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E) None of these done
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question_answer39) A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side of 5 cm to form a cone. The volume of the cone so formed is:
A) done
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B) done
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C) done
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D) done
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E) None of these done
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question_answer40) The wheels of a car are 80 cm in diameter. How many complete revolutions does each wheel will make in 8 minutes if car is travelling at a speed of 33 km/ h?
A) 1600 done
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B) 1800 done
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C) 1750 done
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D) 1850 done
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E) None of these done
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