# Mensuration-50

### From Homeworkwiki

**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 3^{3} = 36 Π cm^{3}

Let the level of water be raised by h cm.

Then, volume of water displaced by the sphere =

= Π r^{2} h = Π x 6^{2} x h = 36 Π x h cm^{3}

Therefore, 36 Π h = 36 Π

=> h = 1 cm

Hence, the water level will be raised by **1 cm**