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Chapter 2: Problem 27

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

Short Answer

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

Step by step solution

01

Write down the original volume formula

Begin with the formula for the volume of a cylinder, which is \(V = \pi r^2 h\)
02

Solve for \(h\)

To solve for \(h\), the other value on the right hand side of the equation needs to be moved to the left. We want to isolate \(h\) , so divide both sides of the equation by \(\pi r^2\), giving the resultant formula as \(h = \frac{V}{\pi r^2}\)
03

Simplify the formula for \(h\)

The formula now solves for \(h\), so there鈥檚 no need for further simplification.

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