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Wittaler [7]
3 years ago
13

Diameter of a sphere with the volume of 972πft^3

Mathematics
1 answer:
pogonyaev3 years ago
6 0
\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}~~
\begin{cases}
r=radius\\
-----\\
V=972\pi 
\end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3\cdot 972\pi }{4\pi }=r^3
\\\\\\
729=r^3\implies \sqrt[3]{729}=r\implies \boxed{9=r}

now, recall that a diameter is twice as long as the radius, so the diameter is 2r.
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