Question

The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber, what is the minimum amount of rubber needed to manufacture a set of four basketballs?

Answer 1

Answer:

The minimum amount of rubber needed is 1,134 square inches

Step-by-step explanation:

we know that

The surface area of a sphere (basketball ) is given by the formula

$SA=4\pi r^{2}$

we have

$r=9.5/2=4.75\ in$ ----> the radius is half the diameter

$\pi=3.14$

substitute

$SA=4(3.14)(4.75)^{2}=283.385\ in^2$

Multiply by 4 (because are four basketballs)

$283.385(4)=1,133.54\ in^2$

therefore

The minimum amount of rubber needed is 1,134 square inches