Question

the volume of the sphere is 36π ft³. what is the measure of its radius? 25 6ft 9ft³ more information is needed 3ft

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$.

Step2: Substitute given volume

We are given $V = 36\pi$, so $36\pi=\frac{4}{3}\pi r^{3}$.

Step3: Solve for $r^{3}$

Divide both sides by $\pi$: $36=\frac{4}{3}r^{3}$. Then multiply both sides by $\frac{3}{4}$: $r^{3}=36\times\frac{3}{4}=27$.

Step4: Solve for $r$

Take the cube - root of both sides. Since $\sqrt[3]{27}=3$, $r = 3$ ft.

Answer:

3ft