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The volume of two cylinders have a ratio of 27:125. What is the ratio of their radii?

The volume of two cylinders have a ratio of 27:125. What is the ratio of their radii-example-1

1 Answer

1 vote

Solution


V=\pi r^2h
\begin{gathered} (27)/(125)=(r^3)/(R^3) \\ \\ (27)/(125)=((r)/(R))^3 \\ \\ \sqrt[3]{(27)/(125)}=(r)/(R) \\ \\ (3)/(5)=(r)/(R) \end{gathered}

The final answer

Option D


27:125=3:5

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