Mathematics, 19.10.2019 03:00 madi25838
The volume of a sphere is 1928π m3 . what is the surface area of the sphere to the nearest tenth?
Answers: 2
![\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}](/tpl/images/0333/2657/78f29.png)
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The volume of a sphere is 1928π m3 . what is the surface area of the sphere to the nearest tenth?...
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