3 years ago

2[5+6 divided by 2 - (4+3)

Mathematics

1 answer:

Ivan3 years ago

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Answer:

Step-by-step explanation:

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The volume of a sphere is 1928π m3 . What is the surface area of the sphere to the nearest tenth?

Rufina [12.5K]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad \begin{cases}
r=radius\\
------\\
V=1928\pi 
\end{cases}\implies 1928\pi =\cfrac{4}{3}\pi r^3
\\\\\\
1928\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3\cdot 1928\pi }{4\pi }
=r^3\implies 1446=r^3
\\\\\\
\sqrt[3]{1446}=r\\\\
-------------------------------\\\\
\textit{surface area of a sphere}\\\\
S=4\pi r^2\qquad r=\sqrt[3]{1446}\implies S=4\cdot \pi \cdot \sqrt[3]{1446^2}$