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

Answer:

325 balls

Step-by-step 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,

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

n = 324.81 balls.

or

n = 325 balls

Hence, there are 325 balls.