Question

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.

Answer 1

Volume of water displaced = volume of spherical ball
$\pi$$r^2$h = $\pi$$R^3$
225 h = $\frac{4}{3}$ $\times$ 729
225 h = 972
h = 4.32 cm

hence the increase in the level of water is 4.32 cm