Question

what is the approximate diameter of a sphere with a volume of 34 cm yo the third power?

Answer 1

The volume of a sphere is:

$V=\frac{4}{3}\pi\cdot r^3$

As the diameter is 2 times the radius. Solve the equation for r and find the measure of the radius:

$\begin{gathered} 3V=4\pi\cdot r^3 \\ \\ \frac{3V}{4\pi}=r^3 \\ \\ \sqrt[3]{\frac{3V}{4\pi}}=r \end{gathered}$

V= 34 cubic centimeters

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