Mathematics, 22.01.2020 14:31 gabbymcdermid
Asphere has a volume of approximately 14,137 cubic inches. what is the length of the radius of the sphere, rounded to the nearest whole inch?
Answers: 1
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=14137 \end{cases}\implies 14137=\cfrac{4\pi r^3}{3}\implies 42411=4\pi r^3 \\\\\\ \cfrac{42411}{4\pi }=r^3\implies \sqrt[3]{\cfrac{42411}{4\pi }}=r\implies 14.99994\approx r\implies \stackrel{\textit{rounded up}}{15=r}](/tpl/images/0465/8020/18831.png)
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Asphere has a volume of approximately 14,137 cubic inches. what is the length of the radius of the s...
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