Question

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

Answer 1

Given the formula 
V=$\frac{4}{3}$πR³
so V=$\frac{4}{3}$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 = $\frac{4}{3} \pi r^{3}$

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

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

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

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

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