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.

Respuesta :

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 / 2

r  =  24/2

r  =  12

Step 3 : 

Plug ∏ ≈  3.14 and r = 12 in (1).

V ≈  4/3 · 3.14 · 12³

Simplify.

V ≈  4/3 · 3.14 · 1728

V ≈  7,234.6

Hence, the volume of the soccer ball is about 7,234.6 cubic cm. 

It can be deduced that the volume of the ball is 7234.6cm³.

Volume

The volume that will be used to calculate the information given will be:

Volume = 4/3πr³

Where, r = diameter/2 = 24/2 = 12

Volume = 4/3πr³

Volume = 4/3 × 3.14 × 12³

Volume = 7234.6cm³

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