Home
Class 14
MATHS
A sphere is placed inside a right circ...

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is `r ,` then the volume of the cylinder is

A

`2 pi R^(3)`

B

`4pir^(3)`

C

`8piR^(3)`

D

`(8)/(3) piR^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Base and axis of Right Circular Cylinder

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?

A solid right circular cone of height 120cm and radius 60cm is placed in a right circular cylinder full of water of height 180cm such that it touches the bottom Find the volume of water left in the cylinder if the radius of the cylinder is equal to the radius to the cone.

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottoms. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

A solid right circular cylinder of diameter 12 cm and height 27 cm is moulded into a sphere. The radius of the sphere is

The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the solid cylinder is 1628 cm^(2) , find the volume of the cylinder. (pi = (22)/(7))

The radius of a sphere and right circular cylinder is 'r' units. Their volumes are equal. The ratio of the height and radius of the cyclinder is :