Mathematics, 01.08.2019 16:30 nathanwhite2000
The volume of a sphere is 288π cm³. what is the radius of the sphere? enter your answer in the box. cm
Answers: 1
(1)![288 = \frac{4}{3} \pi r^3 \newline \indent \frac{4}{3} \pi r^3 = 288\pi \newline \indent \frac{4\pi r^3}{3} = 288\pi \newline \indent 3\left (\frac{4\pi r^3}{3} \right ) = 3(288\pi) \newline \newline \indent 4\pi r^3 = 864\pi \newline \newline \indent \frac{4\pi r^3}{4\pi} = \frac {864\pi}{4\pi} \newline \newline \indent r^3 = 216 \newline \indent r = \sqrt[3]{216} \newline \indent \boxed{r = 6} ](/tpl/images/0158/5807/a17a9.png)
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![\sqrt[3]{ \dfrac{288\times 3 }{4}} = r](/tpl/images/0158/5807/49b85.png)
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