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Oliga [24]
3 years ago
14

The volume of a sphere is 1928pi m^3. what is the surface area of the sphere to the nears tenth

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0
\bf \begin{array}{llll}
\textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\\
----------\\
\textit{surface area of a sphere}\\\\
S=4\pi r^2
\end{array}\qquad r=radius\\\\
-----------------------------\\\\
V=1928\implies 1928=\cfrac{4\pi r^3}{3}\implies \cfrac{3\cdot 1928}{4\pi }=r^3
\\\\\\
\sqrt[3]{\cfrac{3\cdot 1928}{4\pi }}=\boxed{r}\qquad thus
\\\\\\
S=4\pi \left( \boxed{\sqrt[3]{\cfrac{3\cdot 1928}{4\pi }}} \right)^2
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