Question

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

Explanation:

Step1: Isolate $\pi r^2$ term

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

Step2: Isolate $r^2$ term

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

Step3: Solve for $r$

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

Answer:

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