Question

What is the volume of a sphere with a diameter of 5 in? Round your answer to the nearest hundredth of a cubic inch.

Answer 1

if the sphere has a diameter of 5, then its radius is half that, or 2.5.

`\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\cfrac{4\pi (2.5)^3}{3}\implies V=\cfrac{62.5\pi }{3} \\\\\\ V\approx 65.44984694978736\implies V=\stackrel{\textit{rounded up}}{65.45}`