anonymous
  • anonymous
A sphere has a volume of 972π in.3. Find its radius.
Mathematics
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anonymous
  • anonymous
A sphere has a volume of 972π in.3. Find its radius.
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
Hikari, you need to use the formula for the volume of a sphere:\[V=\frac{4}{3}\pi r^3\]You have the volume given to you already, so all you need to do is rearrange that formula to find the radius:\[r=\sqrt[3]{\frac{3V}{4 \pi}}=\sqrt[3]{\frac{3\times 972 \pi}{4 \pi}}=\sqrt[3]{729}=9\]So the radius is 9 inches.

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