Question

A figure of sphere is given below:


Find the volume of this sphere.

• A. $4000\pi {\text{cm}}^3$
• B. $1333.33\pi {\text{cm}}^3$
• C. $133.33\pi {\text{cm}}^3$
• D. $10666.67\pi {\text{cm}}^3$

Answer 1

The correct option is B $1333.33\pi {\text{cm}}^3$

Observe the given figure, the diameter of the given sphere is $AB=20\text{cm}$.

We know that the radius is half of the diameter, therefore the radius of the given figure is $OA=10\text{cm}$ and can be represented as follows:


The volume $\left(V\right)$ of the sphere is given as,

$\begin{array}{cc}V& =\frac{4}{3}\pi r^3\\ & =\frac{4}{3}\pi (10{)}^3\\ & =\frac{4000}{3}\pi \\ & =1333.33\pi \end{array}$

Hence, the volume of the given figure is $1333.33\pi {\text{cm}}^3$.