Problem 30 - Introductory Algebra for College Students

Question

Solve the formula for the volume of a circular cylinder for \(h\)

Step-by-Step Solution

Answer

Solving the volume formula of a cylindrical cylinder for \(h\), we find \(h = V / (\pi r^2)\)

Step 1: Identify the given formula

The volume of a circular cylinder is given by the formula \(V = \pi r^2 h\). In this formula, \(V\) represents volume, \(r\) represents the radius of the base of the cylinder, and \(h\) represents the height of the cylinder.

Step 2: Isolate \(h\)

To isolate \(h\), we need to make \(h\) the subject of the formula, meaning 'move' all the other terms to the other side of the equation. We do this by dividing both sides of the equation by \(\pi r^2\). This gives us \(h = V / (\pi r^2)\)