Wilson Cruz
06/14/2024 · Senior High School

In the formula for volume of a right cone, solve for the variable \( h: V=\frac{1}{3} \pi r^{2} h \) Note: In this formula, \( V \) is volume, \( h \) is height, and \( r \) is radius of the base of the cone. \( h=\frac{3 \pi V}{r^{2}} \) \( h=\frac{3 r^{2} V}{\pi} \) \( h=\frac{V}{3 \pi r^{2}} \) \( h=\frac{3 V}{\pi r^{2}} \)

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To solve for \( h \), multiply both sides of the equation \( V = \frac{1}{3} \pi r^{2} h \) by 3 and then divide by \( \pi r^{2} \). The result is \( h = \frac{3V}{\pi r^{2}} \).

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