[tex]\textit{volume of a hemisphere}\\\\ V=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies \begin{array}{llll} V-\cfrac{1}{2}\cdot \cfrac{4\pi (8)^3}{3}\implies V=\cfrac{1024\pi }{3} \\\\\\ V\approx 1072.3 \end{array}[/tex]
