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question_answer1) A vessel is in the form of hemispherical bowl surmounted by a hollow cylinder as shown in the figure. The diameter of the hemisphere is 14 err and the total height of the vessel is 13 cm. Find the capacity of the vessel
question_answer2) A tent is in the form of a cylinder of diametre 4.2 m and height 4 M surmounted by a cone of equal base and height 2.8 m. Find the capacity of the tent and the cost of canvas to making the tent at Rs. 100 per square metre.
question_answer3) A toy is in the form of a cone mounted on a hemisphere of radius 3.5 cm. The total height of the toy is 15.5 cm. Find the total surface area and volume of the toy.
question_answer4) A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere (as shown in the figure) is immersed into the tub. If the radius of the hemisphere is 3.5 cm and the height of the cone outside the hemisphere is 5 cm then find the volume of water left in the tub.
question_answer5) A solid cylinder of diameter 12 cm and height 15 cm is melted and recast into 12 toys in the shape of a right circular cone mounted on a hemisphere. Find the radius of the hemisphere and total height of the toy, if the height of conical part is three times of the radius of the hemisphere.
question_answer6) An iron pillar has some part in the form of a right circular cylinder and the remaining in the form of a right circular cone (as shown in the figure). The radius of the Base of each of the cones and the cylinder is 8 cm. The cylindrical part is 240 cm high and the conical part is 36 cm high. Find the weight of the pillar, if the density of iron is.
question_answer7) A solid composed of a cylinder with hemispherical ends (as shown in the figure). If the whole length of the solid is 104 cm and the radius of each of its hemispherical ends is 7 cm then find the cost of polishing its surface at the rate of Rs..
question_answer8) A solid toy is in the form of a right circular cylinder with a hemisphere at one end and a cone at the other end (as shown in the figure). Their common diametre is 4.2 cm. The height of the cylindrical and conical part are 12 cm and 7 cm respectively. Find the volume of the given toy.
question_answer9) A toy is in the shape of a right circular cylinder with a hemisphere at one end and a cone on the other end (as shown in the figure). The radius and height of the cylindrical part are 5 cm and 13 cm respectively. The radius of the hemispherical and conical parts are the same as that of the cylindrical part. Find the surface area of the toy, if the total height of the toy is 30 cm.
question_answer10) From a solid cylinder whose height is 12 cm and diameter 10 cm a conical cavity of same height and of same diameter is curved (as shown in the figure). Find the total surface area of the remaining Solid.
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