A cylindrical bucket with base radius 15 cm is filled with water up to a height of 20 cm. A heavy iron spherical ball of radius 9 cm is dropped into the bucket to submerge completely in the water. Find the increase in the level of water.

Given,


Radius of spherical ball = 9 cm


Volume of spherical ball = πr3 =


Radius of cylinder = 15 cm


Let the increase in level = h cm


= π × 729 = π × 15 × 15 × h


= h =


20