Answer
$\frac{2}{3}\pi r^3$
Work Step by Step
We know that $V=\frac{1}{3}\pi r^2 h$ and that $h=2r$ because the height is twice the radius.
Therefore $V=\frac{1}{3}\pi r^2 h=\frac{1}{3}\pi r^2 (2r)=\frac{2}{3}\pi r^3$
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