Ryan wants to use the Fermi process to estimate the number of basketballs that would fill a gymnasium. As part of the process, he needs to estimate the volume of a basketball. The diameter of a basketball is about 10 in. 

Which estimate best approximates the volume of a basketball?

10^1 in³ 
10^2 in³
10^3 in³ 
10^4 in³

Respuesta :

A basketball is the shape of a sphere.

The volume of a sphere is given by

[tex]V= \frac{4}{3} \pi r^3[/tex]

Given that the diameter of the basketball is 10 in., thus the radius is 10 / 2 = 5 in.

Thus, the volume of the basketball is given by

[tex]V= \frac{4}{3} \pi(5)^3 \\ \\ = \frac{4\times125}{3} \pi=523.6\ in^3[/tex]

Therefore, The best approximate of the volume of the basketball is [tex]5\times10^2\ in^3[/tex]