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 = [tex]\frac{4}{3} \pi r^{3}[/tex]
Notice that our sphere has a radius of 9 inches, so we can plug a 9 in for the radius in our formula.
Volume = [tex](\frac{4}{3}) (\pi)(9in.)^{3}[/tex]
Start by simplifying the exponent. (9 in.)³ is equal to 9 inches × 9 inches × 9 inches or 729 in.³.
Volume = [tex](\frac{4}{3})(729 in^{3})(\pi)[/tex]
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
