Question

There is a bowling ball with a diameter of 216 mm and a baseball with a diameter of 74 mm. Find how many times greater the volume of the bowling ball is as that of the baseball.

A: It is about 8.5 times greater.
B: It is about 2.9 times greater.
C: It is about 16.2 times greater.
D: It is about 24.9 times greater.

Answer 1

bowling ball radius = 108 mm
Sphere Volume = 4/3 • π • r³
bowling ball volume = 4/3 * PI * 108^3
bowling ball volume = 5.2767e+6
bowling ball volume = 5,276,669 cubic mm

baseball radius = 37 mm
baseball volume = 4/3 * PI * 37^3
baseball volume = 4/3 * PI * 37^3
baseball volume = 212,174 cubic mm

bowling ball greater than baseball by a factor of:

5,276,669 / 212,174 = 24.8694450477
answer is D