A sphere of diameter 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 6 cm. If the sphere is completely submerged in water, find by how much the surface level of water will be raised.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Diameter of sphere = 6 cm

Radius of sphere = r = 3 cm

Radius of cylinder = R = 6 cm

Let height of water raised be h cm.

Then, volume of water thus raised = R2h

Volume of water raised = volume of sphere

R2h = r3

R2h = r3

36h = 27

h = 1 cm

Therefore, water will be raised by 1 cm.

Answered by  | 4th Jun, 2014, 03:23: PM