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?

Respuesta :

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

[tex]SA=4\pi r^{2}[/tex]

we have

[tex]r=9.5/2=4.75\ in[/tex] ----> the radius is half the diameter

[tex]\pi=3.14[/tex]

substitute

[tex]SA=4(3.14)(4.75)^{2}=283.385\ in^2[/tex]

Multiply by 4 (because are four basketballs)

[tex]283.385(4)=1,133.54\ in^2[/tex]

therefore

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

Answer:

The answer is actually 1134.1

Step-by-step explanation:

Do not listen to this other guy.