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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

1 Answer

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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.
User Emyller
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