Question

PLEASE GET THIS DONE AS SOON AS POSSIBLE!!!

Answer 1

`\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=167\pi \end{cases}\implies 167\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3}{4\pi }\cdot 167\pi =r^3 \\\\\\ \cfrac{501}{4}=r^3\implies \sqrt[3]{\cfrac{501}{4}}=r\implies 5.0\approx r \\\\[-0.35em] ~\dotfill`

`\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=683\pi \end{cases}\implies 683\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3}{4\pi }\cdot 683\pi =r^3 \\\\\\ \cfrac{2049}{4}=r^3\implies \sqrt[3]{\cfrac{2049}{4}}=r\implies 8.0\approx r`