Solve for h
\left\{\begin{matrix}h=\frac{3V}{\pi r^{2}}\text{, }&r\neq 0\\h\in \mathrm{R}\text{, }&V=0\text{ and }r=0\end{matrix}\right.
Solve for V
V=\frac{\pi hr^{2}}{3}
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\frac{1}{3}h\pi r^{2}=V
Swap sides so that all variable terms are on the left hand side.
\frac{\pi r^{2}}{3}h=V
The equation is in standard form.
\frac{3\times \frac{\pi r^{2}}{3}h}{\pi r^{2}}=\frac{3V}{\pi r^{2}}
Divide both sides by \frac{1}{3}\pi r^{2}.
h=\frac{3V}{\pi r^{2}}
Dividing by \frac{1}{3}\pi r^{2} undoes the multiplication by \frac{1}{3}\pi r^{2}.
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