Question

What is the volume of a sphere with a radius of 9 inches

Answer 1

given the formula
V=
`(4)/(3)`πR³
so V=
`(4)/(3)`π9³=972π

Answer 2

Answer: 972π in.³

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

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

Notice that our sphere has a radius of 9 inches, so we can plug a 9 in for the radius in our formula.

Volume =
`((4)/(3)) (\pi)(9in.)^(3)`

Start by simplifying the exponent. (9 in.)³ is equal to 9 inches × 9 inches × 9 inches or 729 in.³.

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

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

Volume = (4) (243 in³) (π)

Volume = 972π in.³