Question

Find the volume produced byrotating the figure around the given axis. (round to the nearest 10th)

Answer 1

if we rotate the picture above around the x-axis, we'll end up with an sphere with a radius of 2.5.

`\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\approx 65.4`