Problem 29 - Introductory Algebra for College Students

Question

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

Step-by-Step Solution

Answer

The formula of the volume of a circular cylinder solved for \(h\) is \(h = \frac{V}{\pi r^{2}}\).

Step 1: Write Down the Formula for the Volume of a Circular Cylinder

The primary formula for the volume (\(V\)) of a circular cylinder is \(V = \pi r^{2}h\).

Step 2: Isolate \(h\)

To solve for \(h\), it's needed to isolate it on one side of the equation. To achieve this, divide both sides of the equation by \(\pi r^{2}\). This yields the formula \(h = \frac{V}{\pi r^{2}}\).