Answer:
The correct answer is the basket ball is 54.87 times bigger in volume than the tennis ball.
Step-by-step explanation:
The diameter of a basketball is approximately given to be 9.5 inches.
The radius of the basket ball is given by [tex]\frac{9.5}{2}[/tex] = 4.75 inches.
The volume of the basket ball is given by = [tex]\frac{4}{3}[/tex] × π × [tex]radius^{3}[/tex] = 449.1012 cubic inches.
The diameter of a tennis ball is approximately given to be 2.5 inches.
The radius of the tennis ball is [tex]\frac{2.5}{2}[/tex] = 1.25 inches.
The volume of the tennis ball is given by = [tex]\frac{4}{3}[/tex] × π × [tex]radius^{3}[/tex] = 8.1845 cubic inches.
Ratio between the volume of the basketball and tennis is given by [tex]\frac{449.1011}{8.1845}[/tex] = 54.87.
Thus the volume of the basket ball is 54.87 times greater than the volume of the tennis ball.
