Mensuration-50

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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

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