Question

Help me out I can’t figure out how to do this

Answer 1

Check the picture below.

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{1}{4} \end{cases}\implies V=\cfrac{4\pi \left( \frac{1}{4} \right)^3}{3}\implies V=\cfrac{4\pi\frac{1}{64}}{3} \\\\\\ V=\cfrac{\frac{4\pi}{64}}{3}\implies V=\cfrac{\frac{\pi}{16}}{\frac{3}{1}}\implies V=\cfrac{\pi }{16}\cdot \cfrac{1}{3}\implies V=\cfrac{\pi }{48}\implies \stackrel{\textit{rounded up}}{V=0.07}$