Question

solve the formula $v = pi r^2 h$ for $r$.\
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a. $r = \sqrt{v h \pi}$\
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b. $r = \sqrt{v - \pi h}$\
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c. $r = \sqrt{\frac{v}{\pi h}}$\
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d. $r = \sqrt{\frac{\pi h}{v}}$

Explanation:

Step1: Isolate $r^2$ term

Divide both sides by $\pi h$:
$\frac{V}{\pi h} = r^2$

Step2: Solve for $r$

Take square root of both sides:
$r = \sqrt{\frac{V}{\pi h}}$

Answer:

C. $r = \sqrt{\frac{V}{\pi h}}$