Find the volume of a sphere with a radius of 9 cm. Leave your answer in terms of pi.(1 point)

Question

The volume is?

Answer 1

The formula for the volume $V$ of a sphere is given by:

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

where $r$ is the radius of the sphere.

Given that the radius $r=9$ cm, we can substitute this value into the formula:

$$V=\frac{4}{3}\pi (9{)}^3$$

Calculating $9^3$:

$$9^3=729$$

Now plug this back into the volume formula:

$$V=\frac{4}{3}\pi (729)$$

Multiply $729$ by $\frac{4}{3}$:

$$V=\frac{2916}{3}\pi =972\pi$$

So, the volume of the sphere is

$$\boxed{{\displaystyle 972\pi }}{\text{ cm}}^3.$$