Q27 of 70 Page 21

The largest sphere is carved out of a cube of side 10.5 cm. Find the ratio of their volumes.

Largest sphere that can be carved out of a cube will have its diameter as the side of the cube.


Radius of the largest sphere carved out of a cube of side 10.5 cm = 10.5/2 = 5.25 cm


Volume of a cube = side3


Volume of a sphere = (4/3)πr3


Ratio of their volumes


More from this chapter

All 70 →
25

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Show that their volumes are in the ratio 1 : 2 : 3.

 26

A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical form ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball?

 28

A sphere, a cylinder and a cone have the same diameter. The height of the cylinder and also the cone are equal to the diameter of the sphere. Find the ratio of their volumes.

 29

A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.