From Homeworkwiki

Jump to: navigation, search

A sphere of radius 3 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel
is 6 cm. If the sphere is submerged completely, by how much will the surface of the water be raised?

Solution: Volume of sphere = 4/3 x Π x 33 = 36 Π cm3

Let the level of water be raised by h cm.

Then, volume of water displaced by the sphere =

= Π r2 h = Π x 62 x h = 36 Π x h cm3

Therefore, 36 Π h = 36 Π

=> h = 1 cm

Hence, the water level will be raised by 1 cm

Personal tools
McAfee SECURE sites help keep you safe from identity theft, credit card fraud, spyware, spam, viruses and online scams