Question

What is the volume of a sphere with a radius of 18 units?

Answer 1

24429.02 is the volume of a sphere with a radius of 18 units.

Answer 2

Answer: $7776$$\pi units^{3}$

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of sphere.

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

Notice that our sphere has a radius of 18 units, so we can plug 18 into the formula.

Volume = $(\frac{4}{3}\))\pi(18units^{3})$

Now, let's start by simplifying the exponent. $18^{3}$ is equal to 18 units x 18 units x 18 units or 5,832 units³.

Volume = $(\frac{4}{3}) (5,832 units^{3}) (\pi)$

Notice that we can cross cancel 3 in $\frac{4}{3}$ and 5,832 to 1 and 1,944.

Volume = $(4) (1,944 units^{3})(\pi)$

Volume = $7776$$\pi units^{3}$