Question

PLS HELP

A storage container full of basketballs is 10 feet long, 5 feet wide and 4 feet tall. If the
diameter of a basketball is about 9.2 inches, approximately how many basketballs fit in the
container? Volume of a sphere = 4/3 r.

Answer 1

325 balls

Explanation:

Given that,

The dimensions of a container are 10 feet long, 5 feet wide and 4 feet tall.

The diameter of a basketball is 9.2 inches

Radius of basketball, r = 4.6 inches

4.6 inches = 0.3834 feet

We need to find the no of basketballs that can fit in the container. Let there are n balls. So,

`n=\frac{\text{Volume of container}}{\text{Volume of a ball}}\\\\n=(lbh)/((4)/(3)\pi r^2)\\\\n=(3lbh)/(4\pi r^2)\\\\\text{Putting all the values, we get}\\\\n=(3* 10* 5* 4)/(4\pi * (0.3834 )^2)`

n = 324.81 balls.

or

n = 325 balls

Hence, there are 325 balls.