question_answer

Match the following.

Column-I	Column-II
(p) A cylinder of radius 3 cm is inscribed in a sphere of radius 5 cm, then volume of cylinder is ___.	(1)\[38.5\,\,c{{m}^{3}}\]
A conical pit of top diameter 3.5 cm is 12 cm deep, the capacity of pit is ___.	(2)\[512\text{ }c{{m}^{3}}\]
(r) The length of a diagonal of a cube is \[8\sqrt{3}\,cm.\]then volume of cube is ___.	(3)\[~72\pi \text{ }c{{m}^{3}}\]
(s) The capacity of a conical vessel with height 12 cm and slant height 13 cm is___.	(4)\[100\pi \,c{{m}^{3}}\]

A) \[(p)\to (2);(q)\to (3);(r)\to (4);(s)\to (1)\]

B) \[(p)\to (1);(q)\to (3);(r)\to (2);(s)\to (4)\]

C) \[(p)\to (3);(q)\to (1);(r)\to (2);(s)\to (4)\]

D) \[(p)\to (4);(q)\to (1);(r)\to (3);(s)\to (2)\]

Correct Answer: C

Solution :

(p) Let height and radius of the cylinder be h an r respectively. Let R be the radius of sphere. In Volume of cylinder (Q) Radius of conical pit Depth of conical pit (h) = 12 cm Volume of conical pit (R) Length of diagonal of cube of side Volume of cube (S) Volume of conical vessel