The ratio of the volume of a cube to t...

The ratio of the volume of a cube to that of sphere so that the sphere will fit inside the cube is

A

`4 :pi`

B

`4 :3pi`

C

`6 :pi`

D

`2 :pi`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE
RD SHARMA ENGLISH|Exercise All Questions|129 Videos
TABULAR REPRESENTATION OF STATISTICAL DATA
RD SHARMA ENGLISH|Exercise All Questions|70 Videos

Similar Questions

Explore conceptually related problems

Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.

A hollow sphere of volume V is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water ?

If the volume of a cube is equal to the volume of a sphere, what is the ratio of the edge of the cube to the radius of the sphere ?

The ratio of the volumes of two spheres is 64 : 27. Find the ratio of their radii. Also find the ratio of their surfaces.

The sum of the surface areas of a sphere and a cube is given. Show that when the sum of their volumes is least, the diameter of the sphere is equal to the edge of the cube.

If the ratio of the volumes of two spheres is 1 : 8, then find the ratio of their radii.

If a sphere of radius 3 is inscribed in a cube such that it is tangent to all six faces of the cube, the volume contained outside the sphere and inside the cube is

RD SHARMA ENGLISH-SURFACE AREA AND VOLUME OF A SPHERE -All Questions

How many spherical bullets can be made out of a solid cube of lead who...
Text Solution
|
If a sphere of radius 2r has the same volume as that of a cone w...
Text Solution
|
A metallic spherical shell of internal and external diameters 4 cm and...
Text Solution
|
The surface area of a sphere of radius 5 cm is five times the curved s...
Text Solution
|
In a sphere is inscribed in a cube, find the ratio of the volume of...
Text Solution
|
In a sphere the number of faces is 1 (b) 2 (c) 3 ...
Text Solution
|
The total surface area of a hemisphere of radius r is pir^2 (b) 2p...
Text Solution
|
The ratio of the total surface area of a sphere and a hemisphere of ...
Text Solution
|
A sphere and a cube are of the same height. The ratio of their volu...
Text Solution
|
The largest sphere is cut off from a cube of side 6cm. The volume o...
Text Solution
|
A cylindrical rod whose height is 8 times of its radius is melted and ...
Text Solution
|
If the ratio of volumes of two spheres is 1:8, then the ratio of th...
Text Solution
|
If the surface area of a sphere is 144pi\ m^2, then its volume (...
Text Solution
|
If a solid sphere of radius 10 cm is moulded into 8 spherical solid...
Text Solution
|
The ratio between the volume of a sphere and volume of a circumscri...
Text Solution
|
The ratio of the volume of a cube to that of sphere so that the sphe...
Text Solution
|
A solid sphere of radius r is melted and cast into the shape of a ...
Text Solution
|
A sphere is placed inside a right circular cylinder so as to touch ...
Text Solution
|
A cone and a hemisphere have equal bases and equal volumes the rati...
Text Solution
|
A cone, a hemisphere and a cylinder stand on equal bases and have t...
Text Solution
|