Question

As a prank, a friend decided to fill your car with balls from a ball pit. assuming the inside of your car is a rectangular prism with the length of 10 feet, a width of 5 feet, and a height of 3 feet. how many balls, with a radius of 3 inches, can fit inside the car?

a. 13
b. 521
c. 1206
d. 2294

Answer 1

D

Explanation:

We need volume of rectangular prism and volume of sphere.

Volume of Rectangular Prism = length * width * height = 10 * 5 * 3 = 150 sq. ft.

3 inches is 3/12 = 0.25 ft

Volume of Sphere =
`(4)/(3) \pi r^3= (4)/(3) \pi (0.25)^3=0.065` sq. ft.

How many of these can u fit in 150 sq. ft??

150/0.065 = 2307.69

That's not one of the choices, but we can defnitely fit 2294 of the balls. So D is the correct answer.