Question

The diameter of a golf ball is about 4 centimeters. Which of these is the closest to the volume of a golf ball?

16.75 cm^3

33.51 cm^3

100.53 cm^3

268.08cm^3

Answer 1

`V=33.51cm^3`

Explanation:

Diameter:
`d=4cm`

from this information we can find the radius of the golf ball:

`r=(d)/(2)\\ \\r=(4cm)/(2)\\ \\r=2cm`

A golf ball is shaped like a sphere, and the formula for finding the volume of a sphere is:

`V=(4\pi r^3)/(3)`

where r is the radius and
`\pi` is a constant:
`\pi=3.1416`

we substitute the values of pi and the radius to find the volume:

`V=(4(3.1416)(2cm)^3)/(3)\\ \\V=(4(3.1416)(8cm^3))/(3)\\ \\V=(100.53cm^3)/(3)\\ \\V=33.51cm^3`

the closest to the volume of a golf ball:
`33.51cm^3`