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=(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 \\ \\ (3V)/(4\pi)=r^3 \\ \\ \sqrt[3]{(3V)/(4\pi)}=r \end{gathered}`

V= 34 cubic centimeters