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.