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Elden [556K]
3 years ago
15

Given a cone with a volume of 288 in and height 7 in find the base radius of the cone

Mathematics
1 answer:
nlexa [21]3 years ago
5 0
\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
------\\
h=7\\
V=288
\end{cases}\implies 288=\cfrac{\pi \cdot r^2\cdot 7}{3}
\\\\\\
\cfrac{288\cdot 3}{7\pi }=r^2\implies \sqrt{\cfrac{288\cdot 3}{7\pi }}=r
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