👤

Will give brainless whatever that means. Due today. The radius of a basketball is 10 inches, and the radius of a soccer ball is 9 inches. How much greater is the volume of the basketball than the soccer ball? Round to the nearest tenth ​

Answer :

9514 1404 393

Answer:

  1135.2 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)Ï€r^3

The difference in volume will be ...

  ∆V = Vb -Vs = (4/3)Ï€(10^3 -9^3) = (4/3)Ï€(1000 -729) = 4/3π·271 . . . cubic in

  ∆V ≈ 1135.2 . . . cubic inches

The basketball has a volume that is 1135.2 cubic inches greater.

_____

If you use 3.14 for π, your answer is 1134.6 in^3.