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As shown in the adjacent figure, a sphe...

As shown in the adjacent figure, a sphere is placed in a cylinder. It touches the top, bottom and the curved surface of the cylinder. If radius of the base of the cylinder is 'r',

(i) what is ratio of the radii of the sphere and the cylinder?
(ii)what is the ratio of the curved surface area of the cylinder and the surface area of the sphere?
(iii) what is the ratio of the volumes of the cylinder and the sphere?

Text Solution

Verified by Experts

The correct Answer is:
(i)radius of sphere : radius of cylinder = 1 : 1.
(ii)curved surface area of cylinder : surface area of sphere = 1 : 1
(iii)volume of cylinder : volume of sphere = 3 : 2.
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