Mathematics, 21.07.2019 05:00 Alex9089435028
Item 18 a spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. the edge length of the box is equal to the diameter of the ball. what is the volume of the box?
Answers: 2
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ -----\\ V=972\pi \end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies 2916\pi =4\pi r^3 \\\\\\ \cfrac{2916\pi }{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies \boxed{9=r}](/tpl/images/0114/3791/196ff.png)
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Item 18 a spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a c...
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