Question

The radius of the sphere is given to be $5\text{cm}$. What will be the volume of this sphere?

• A. $\frac{100}{3}\pi {\text{cm}}^3$
• B. $\frac{500}{3}\pi {\text{cm}}^3$
• C. $500\pi {\text{cm}}^3$

Answer 1

The correct option is B $\frac{500}{3}\pi {\text{cm}}^3$

The given sphere can be depicted as follows:


The volume of the sphere, $\left(V\right)$ is calculated using formula,
$V=\frac{4}{3}\pi r^3$, where $r$ is its radius.
Substitute $r=5$ to obtain the volume of the sphere.

$\begin{array}{cc}V& =\frac{4}{3}\pi \left(5^3\right)\\ & =\frac{500}{3}\pi \end{array}$

Hence, the volume of the given sphere is $\frac{500}{3}\pi {\text{cm}}^3$.