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 =
`(4)/(3) \pi r^(3)`

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

`Volume = ((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 = ((4)/(3)) (729units^(3)) (\pi)`

Notice that we can cross cancel 3 in
`(4)/(3)` and 729 to 1 and 243.

`Volume = (4) (243 units^(3)) (\pi)`

`Volume = 972\pi units^(3)`