Solve 340m^3=pir^2h

$$340 m ^ { 3 } = \pi r ^ { 2 } h$$

Solve for h

$$\left\{\begin{matrix}h=\frac{340m^{3}}{\pi r^{2}}\text{, }&r\neq 0\\h\in \mathrm{R}\text{, }&m=0\text{ and }r=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\pi r^{2}h=340m^{3}$$

Divide both sides by \pi r^{2}.

$$\frac{\pi r^{2}h}{\pi r^{2}}=\frac{340m^{3}}{\pi r^{2}}$$

Dividing by \pi r^{2} undoes the multiplication by \pi r^{2}.

$$h=\frac{340m^{3}}{\pi r^{2}}$$

Solve for m

$$m=\frac{\sqrt[3]{\pi h}\times \left(340r\right)^{\frac{2}{3}}}{340}$$