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9 votes
9 votes
9 mVolume = 75 n mm3RadiusG

User Machhindra Neupane
by
2.8k points

1 Answer

14 votes
14 votes

we know that

The volume of a cone is equal to


V=(1)/(3)\cdot\pi\cdot r^2\cdot h

In this problem

we have

V=75pi mm^3

h=9 m------> convert to mm

h=9,000 mm

substitute in the given equation


\begin{gathered} 75\cdot\pi=(1)/(3)\cdot\pi\cdot r^2\cdot9,000 \\ \text{simplify} \\ 75=r^2\cdot3,000 \\ r^2=(75)/(3,000) \\ \\ r^2=(1)/(40) \\ \\ r=\frac{1}{\sqrt[\square]{40}} \\ \\ r=\frac{\sqrt[\square]{40}}{40} \\ \text{simplify} \\ r=\frac{2\sqrt[\square]{10}}{40} \\ \end{gathered}
r=\frac{\sqrt[\square]{10}}{20}\text{ mm}

User Olivia Witt
by
3.5k points