Question

The volume of a sphere is 972π ft3. What is the radius of the sphere? Use the formula V =

4
3
πr3 to find your answer.

Answer 1

`\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=972\pi \end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies (3)972\pi =4\pi r^3 \\\\\\ \cfrac{(3)972\pi }{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies 9=r`