Question

What is the radius of a sphere with a
volume of 384 ft3, to the nearest tenth of
a foot?

Answer 1

`(4)/(3) \pi {r}^(3) = 384`

`r = 4.5`

So the radius of this sphere is approximately 4.5 feet.

Answer 2

`\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=384 \end{cases}\implies 384=\cfrac{4\pi r^3}{3}\implies 384(3)=4\pi r^3 \\\\\\ \cfrac{384(3)}{4\pi }=r^3\implies \sqrt[3]{\cfrac{384(3)}{4\pi }}=r\implies 4.5\approx r`