\[
V=\pi r^{2} \frac{h}{3}
\]
Which of the following represents the formula that could be used to find the height of the cone?
(A) \( h=\frac{\pi r^{2}}{3 V} \)
(B) \( h=\frac{3 V}{\pi r^{2}} \)
(C) \( h=\frac{3 \pi r^{2}}{V} \)
(D) \( h=\frac{V}{3 \pi r^{2}} \)

Answer

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Answer

Divide both sides of the equation by \( \pi r^{2} \): \( h = \frac{3V}{\pi r^{2}} \)

Steps

Step 1 ：Multiply both sides of the equation by 3: \( 3V = \pi r^{2} h \)

Step 2 ：Divide both sides of the equation by \( \pi r^{2} \): \( h = \frac{3V}{\pi r^{2}} \)