Question

A cylindrical tub of radius 12cm contains water to the depth of 20cm. A
spherical ball is dropped into the tub raising the level of water by
6.75cm. What is radius of ball ?
7​

Answer 1

Answer:

• REQUIRED ANSWER :)

Let r be the radius of the spherical ball

When spherical ball is dropped into the tube, the level of water raises by 6.75 cm.

Volume of spherical ball = Volume of water displaced in the cylindrical tube.

$: \implies \frac{4}{3} \pi \: r {}^{3} = \pi r {}^{2} h \\ \\ : \implies \: r {}^{3} = \frac{3}{4} \times 12 \times 12 \times 6.75 \\ \\ : \implies \: r {}^{3} = {729}^{3} \\ \\ : \implies \: r = 9cm$