Question

A sphere of radius 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 8 cm. If the sphere is submerged completely, then the surface of the water rises by

(a) 4.5 cm

(b) 3

(c) 4 cm

(d) 2 cm

Answer 1

Radius of the sphere = 6 cm.

Volume of the sphere

and

Radius of the cylinder = 8 cm

Volume of the cylinder

Therefore,

Volume of the sphere = volume of the cylinder

or

Hence, the correct answer is choice (a).