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:
$9=2\pi r \\ \\ r= \frac{9}{2\pi}$

Volume = $\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9}{2\pi} \right)^3=12.31$

Number of 9 inches baseballs = $\frac{3,071,630.624}{12.31} = 249,513$

For baseballs of 9.25 inches:
$9.25=2\pi r \\ \\ r= \frac{9.25}{2\pi}$

Volume = $\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9.25}{2\pi} \right)^3=13.37$

Number of 9.25 inches baseballs = $\frac{3,071,630.624}{13.36} = 229,824$

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