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Elena-2011 [213]
3 years ago
8

This right circular cone has a volume of 75π cubic inches. The height of the cone is 9 inches. What is the length of the radius?

Mathematics
1 answer:
sukhopar [10]3 years ago
3 0
\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
V=75\pi \\
h=9
\end{cases}\implies 75\pi =\cfrac{\pi r^2\cdot 9}{3}\implies 75\pi =3\pi r^2
\\\\\\
\cfrac{75\pi }{3\pi }=r^2\implies 25=r^2\implies \sqrt{25}=r\implies 5=r
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