Question

Find the amount of water displaced by a solid spherical ball of diameter $28cm$.

• A. $11498\frac{2}{3}{cm}^3$
• B. $11498\frac{2}{7}{cm}^3$
• C. $11498\frac{1}{3}{cm}^3$
• D. $11498\frac{2}{5}{cm}^3$

Answer 1

The correct option is A $11498\frac{2}{3}{cm}^3$

Radius of the spherical ball $=\frac{28}{2}=14cm$

The amount of water it displaces is equal to its volume.

Volume of a spherical ball $=\frac{4}{3}\pi r^3$

'$=\frac{4}{3}\times \frac{22}{7}\times 14\times 14\times 14$

$=\frac{34496}{3}=11498\frac{2}{3}{cm}^3$