Question

The radius of a baseball is about 9.25 inches. The radius of the Basketball is 9.55 inches. What is the

difference of the volumes between the basketball and baseball?

331.55

2734.89

333.14

364.52

Answer 1

C. 333.14

Explanation:

Both the basketball and baseball has got the shape of a sphere. So that;

volume of a sphere =
`(4)/(3)`
`\pi`
`r^(3)`

where r is the radius

i. Volume of the baseball =
`(4)/(3)`
`\pi`
`r^(3)`

=
`(4)/(3)` x
`(22)/(7)` x
`(9.25)^(3)`

= 3315.5655

volume of the baseball = 3316.57 cube inches

ii. Volume of the basketball =
`(4)/(3)`
`\pi`
`r^(3)`

=
`(4)/(3)` x
`(22)/(7)` x
`(9.55)^(3)`

= 3649.8372

Volume of the basketball = 3649.84 cube inches

The required difference = volume of basketball - volume of baseball

= 3649.84 - 3316.57

= 333.27 cube inches

The difference of the volumes of the basketball and baseball is 333.27 cube inches.