Question

What is the volume of a sphere with a radius of 9 units?

Answer 1

Answer: $Volume = 972\pi units^{3}$

Explanation: To find the volume of a sphere, first start with the formula for the volume of a sphere.

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

The sphere has a radius of 9 units, so we can plug 9 into the formula.

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

Now, let's simplify the exponent. Remember that 9³ is equal to 9 units x 9 units x 9 units or 729 units³.

$Volume = (\frac{4}{3}) (729units^{3}) (\pi)$

Notice that we can cross cancel 3 in $\frac{4}{3}$ and 729 to 1 and 243.

$Volume = (4) (243 units^{3}) (\pi)$

$Volume = 972\pi units^{3}$