Question

The volume of a sphere is 381.51 in. If v-(4/3)π=r³ what is the radius

Answer 1

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=381.51 \end{cases}\implies 381.51=\cfrac{4\pi r^3}{3}\implies 3(381.51)=4\pi r^3 \\\\\\ \cfrac{3(381.51)}{4\pi }=r^3\implies \sqrt[3]{\cfrac{3(381.51)}{4\pi }}=r\implies 4.49923943538655585015\approx r$