Solve 200pim^3=1/3pi4^2h

$$200 \pi { m }^{ 3 } = \frac{ 1 }{ 3 } \pi { 4 }^{ 2 } h$$

Solve for h

$$h=\frac{75m^{3}}{2}$$

Steps for Solving Linear Equation

Cancel out \pi on both sides.

$$200m^{3}=\frac{1}{3}\times 4^{2}h$$

Calculate 4 to the power of 2 and get 16.

$$200m^{3}=\frac{1}{3}\times 16h$$

Multiply \frac{1}{3} and 16 to get \frac{16}{3}.

$$200m^{3}=\frac{16}{3}h$$

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

$$\frac{16}{3}h=200m^{3}$$

Divide both sides of the equation by \frac{16}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{16}{3}h}{\frac{16}{3}}=\frac{200m^{3}}{\frac{16}{3}}$$

Dividing by \frac{16}{3} undoes the multiplication by \frac{16}{3}.

$$h=\frac{200m^{3}}{\frac{16}{3}}$$

Divide 200m^{3} by \frac{16}{3} by multiplying 200m^{3} by the reciprocal of \frac{16}{3}.

$$h=\frac{75m^{3}}{2}$$

Solve for m

$$m=\frac{75^{\frac{2}{3}}\sqrt[3]{2h}}{75}$$