Question

The diameter of a basketball is approximately 9.5 inches and the diameter of a tennis ball is approximately 2.5 inches .The volume of a basketball is about how many times greater than the volume of the tennis ball ?

Answer 1

The correct answer is the basket ball is 54.87 times bigger in volume than the tennis ball.

Explanation:

The diameter of a basketball is approximately given to be 9.5 inches.

The radius of the basket ball is given by
`(9.5)/(2)` = 4.75 inches.

The volume of the basket ball is given by =
`(4)/(3)` × π ×
`radius^(3)` = 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
`(2.5)/(2)` = 1.25 inches.

The volume of the tennis ball is given by =
`(4)/(3)` × π ×
`radius^(3)` = 8.1845 cubic inches.

Ratio between the volume of the basketball and tennis is given by
`(449.1011)/(8.1845)` = 54.87.

Thus the volume of the basket ball is 54.87 times greater than the volume of the tennis ball.