18. A soccer ball has a radius of 35 centimeters. To the nearest square centimeter, how much material is needed to make a ball? Use pi = 3.14

Respuesta :

Answer:

[tex]Area = 3846.5cm^2[/tex]

Step-by-step explanation:

Given

[tex]d = 35cm[/tex]

[tex]\pi = 3.14[/tex]

Required

The area of the ball

A soccer [tex]ball[/tex]has the shape of a [tex]sphere[/tex]. So, the area is:

[tex]Area = 4\pi(\frac{d}{2})^2[/tex]

So, we have:

[tex]Area = 4 * 3.14 * (\frac{35}{2})^2[/tex]

[tex]Area = 4 * 3.14 * (17.5)^2[/tex]

Using a calculator, we have:

[tex]Area = 3846.5cm^2[/tex]