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8 votes
8 votes
Find the missing measure for a right circular cone given the following information.Find h if r = 5 and V = 100 pi .

User Nishant Nawarkhede
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2.5k points

1 Answer

26 votes
26 votes

The formula for the volume of a cone is


V=(\pi* r^2* h)/(3)

Then, we substitute r and V


100\pi=(\pi*(5)^2* h)/(3)

Solve 5^2


100\pi=(\pi*25* h)/(3)

Multiply by 3 on both sides


\begin{gathered} 3*100\pi=3*(25\pi* h)/(3) \\ 300\pi=25\pi* h \end{gathered}

Divide by 25pi on both sides


\begin{gathered} (300\pi)/(25\pi)=(25\pi h)/(25\pi) \\ h=12 \end{gathered}

Answer: h = 12

User Joe Kirk
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3.1k points