Question

Solve the formula for the indicated variable. Formula for the volume of a cylinder, V = πr^2h, for h

Solid Geometry
ANSWERED
asked 2021-06-15
Solve the formula for the indicated variable.
Formula for the volume of a cylinder, \(\displaystyle{V}=π{r}^{{2}}{h}\), for h

Answers (1)

2021-06-16

We are given: \(\displaystyle{V}=π{r}^{{2}}{h}\)
Divide both sides by \(\displaystyleπ{r}{2}\)
\(\frac{V}{\pi r^2}=\frac{\pi r^{2}h}{\pi r^2}\)

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

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

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