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

Answer:

$V=33.51cm^3$

Step-by-step explanation:

Diameter: $d=4cm$

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

$r=\frac{d}{2}\\ \\r=\frac{4cm}{2}\\ \\r=2cm$

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

$V=\frac{4\pi r^3}{3}$

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:

$V=\frac{4(3.1416)(2cm)^3}{3}\\ \\V=\frac{4(3.1416)(8cm^3)}{3}\\ \\V=\frac{100.53cm^3}{3}\\ \\V=33.51cm^3$

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