Question

Solve for the indicated variable. Volume of a Circular Cylinder Solve for \(h: V=\pi r^{2} h\)

Short answer

\(h = \frac{V}{\pi r^{2}}\)

Step-by-step solution

Understand the formula

The formula given, \(V = \pi r^{2} h\), is the formula for the volume of a circular cylinder, where \(V\) stands for volume, \(\pi\) is a constant that is approximately 3.14159, \(r\) is the radius of the base of the cylinder, and \(h\) is the height of the cylinder.

Isolate h

To solve for \(h\), h must be isolated on one side of the equation. This can be done by dividing both sides of the equation by \( \pi r^{2}\). This gives us the equation \(h = \frac{V}{\pi r^{2}}\).