Q:

Soccer balls come in several different sizes. One of the soccer balls has a diameter of 24 centimeters. What is the volume of this soccer ball? Round your anwser to the nearest tenth.

Accepted Solution

A:
step 1 : Because soccer ball is in the shape of sphere, we can use the formula of volume of a sphere to find volume of the soccer ball.  Write the formula to find volume of a sphere.V  =  4/3 · ∏r³ ----- (1)Step 2 : To find the volume, we need the radius of the sphere. But, the diameter is given, that is  24 cm. So, find the radius. r  =  diameter / 2r  =  24/2r  =  12Step 3 : Plug ∏ ≈  3.14 and r = 12 in (1).V ≈  4/3 · 3.14 · 12³Simplify.V ≈  4/3 · 3.14 · 1728
V ≈  7,234.6Hence, the volume of the soccer ball is about 7,234.6 cubic cm.