Question

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

Answer 1

volume of sphere = (4/3)πr^3
= (4/3)π(9^3)
= 972π cm^3

Increase in water volume = 972π

radius of cylinder = 7.5
so π(7.5)^2 h = 972π
56.25h = 972
h = 17.28 cm

So the water will rise 17.28 cm

check my arithmetic

Answer 2

Radius of cylinder is 15 cm