Question

Find the amount of water displaced by a solid spherical ball of diameter (Assume $\mathrm{\pi }=\frac{22}{7}$): $28cm$

Answer 1

Evaluate the volume of the spherical ball

Amount of water displaced by an object when it sinks is equal to the volume of the object.

We know that, Volume of the sphere $=\frac{4}{3}{\mathrm{\pi r}}^3$

Given, diameter$=28cm$.

So, radius $\left(r\right)$ $=14cm$

The required volume will be,

$$\begin{gathered} V=\frac{4}{3}{\mathrm{\pi r}}^3 \\ \Rightarrow V=\frac{4}{3}\times \frac{22}{7}\times {\left(14\right)}^3 \\ \Rightarrow V=\frac{34496}{3}c{m}^3 \end{gathered}$$

Therefore, the water displaced by the solid spherical ball is, $\frac{34496}{3}c{m}^3$