Mathematics, 08.12.2019 00:31 sa9334
The volume of a sphere is 4,000pi m^3. what is the diameter of the sphere to the nearest meter
Answers: 3
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=4000\pi \end{cases}\implies 4000\pi =\cfrac{4\pi r^3}{3}\implies 12000\pi =4\pi r^3 \\\\\\ \cfrac{12000\pi }{4\pi }=r^3\implies 3000=r^3\implies \sqrt[3]{3000}=r \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\underline{d}iameter is twice the radius}}{d = 2r}\implies d=2\sqrt[3]{3000}\implies d\approx 28.85](/tpl/images/0408/4431/5db07.png)
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The volume of a sphere is 4,000pi m^3. what is the diameter of the sphere to the nearest meter...
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