Question

HOW MANY BASEBALLS CAN FIT INTO THE TRACTOR TRAILER. THE TRAILER DIMENSIONS ARE 301.5"L X 96.99"W X 105.04"H AND CIRCUMFERENCE RANGE OF THE BASEBALL IS 9 TO 9.25 INCHES

Answer 1

Volume of tractor = length x width x height = 301.5 x 96.99 x 105.04 = 3,071,630.624

For baseballs of 9 inches:

`9=2\pi r \\ \\ r= (9)/(2\pi)`

Volume =
`(4)/(3) \pi r^3= (4)/(3) \pi \left( (9)/(2\pi) \right)^3=12.31`

Number of 9 inches baseballs =
`(3,071,630.624)/(12.31) = 249,513`

For baseballs of 9.25 inches:

`9.25=2\pi r \\ \\ r= (9.25)/(2\pi)`

Volume =
`(4)/(3) \pi r^3= (4)/(3) \pi \left( (9.25)/(2\pi) \right)^3=13.37`

Number of 9.25 inches baseballs =
`(3,071,630.624)/(13.36) = 229,824`

Therefore, the tractor can contain between 229,824 and 249,513 baseballs.