Mathematics, 13.06.2020 02:57 meCreation
Find the radius of the sphere with the given volume. (a) Volume = 972π mm3 (b) Volume = 4.5π cm3 (c) Volume = 121.5π ft3
Answers: 1
![V = \frac{4}{3} \pi r^3\\\\3V = 4\pi r^3\\\\\frac{3V}{4 \pi} = r^3\\\\r = \sqrt[3]{\frac{3V}{4 \pi}}](/tpl/images/0684/7854/fc916.png)
![r = \sqrt[3]{\frac{3V}{4 \pi}} \\\\r = \sqrt[3]{\frac{3*972 \pi}{4 \pi}}\\\\r = \sqrt[3]{729} \\\\r = 9 \ mm](/tpl/images/0684/7854/0ddf3.png)
![r = \sqrt[3]{\frac{3V}{4 \pi}} \\\\r = \sqrt[3]{\frac{3*4.5 \pi}{4 \pi}}\\\\r = \sqrt[3]{3.375} \\\\r = 1.5 \ cm](/tpl/images/0684/7854/423df.png)
![r = \sqrt[3]{\frac{3V}{4 \pi}} \\\\r = \sqrt[3]{\frac{3*121.5 \pi}{4 \pi}}\\\\r = \sqrt[3]{91.125} \\\\r = 4.5 \ ft](/tpl/images/0684/7854/cf48c.png)
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Find the radius of the sphere with the given volume. (a) Volume = 972π mm3 (b) Volume = 4.5π cm3 (c)...
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