Question

A sphere has a radius of 24 centimeters. What is its volume in terms of pi?

Answer 1

Concept:

The volume of a sphere is given below as

`\begin{gathered} V_{\text{sphere}}=(4)/(3)*\pi r^3 \\ \text{where,} \\ r=24cm \end{gathered}`

By substituting the values, we will have

`\begin{gathered} V_{\text{sphere}}=(4)/(3)*\pi r^3 \\ V_{\text{sphere}}=(4)/(3)*\pi*24^3 \\ V_{\text{sphere}}=(4)/(3)*\pi*13824 \\ V_{\text{sphere}}=(55296\pi)/(3)in^3 \\ V_{\text{sphere}}=18432\pi cm^3 \end{gathered}`

Hence,

The final answer is = 18,432π cm³