A sphere and a cylinder have the same radius and height. The volume of the cylinder is 64m. What is the volume of the sphere

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[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} h=2r\\ V=64 \end{cases}\implies 64=\pi r^2(2r)\implies 64=3\pi r^3\implies \boxed{\cfrac{64}{3\pi }=r^3}\\\\ -------------------------------\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad \implies V=\cfrac{4\pi \left( \boxed{\frac{64}{3\pi }} \right)}{3}\implies V=\cfrac{256}{9}[/tex]
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