Question

I need help. Can someone explain this? Show work.

Answer 1

1289155 golf balls

Step-by-step explanation:

The total volume of all the balls equals to the storage unit space volume.

Let the number of total balls in the storage be b.

Conversion:

1 ft³ = 1728 in³

For the ball:

diameter = 1.6 in

radius = diameter/2 = 1.6/2 = 0.8 in

Equation created:

`\sf \rightarrow volume \ of \ all \ balls = volume \ of \ storage`

`\sf \rightarrow b\left((4)/(3) \pi r^3\right) = length * width * height`

`\sf \rightarrow b\left((4)/(3) \pi (0.8)^3\right) =20 * 10 * 8 * 1728`

`\sf \rightarrow b =(20 * 10 * 8 * 1728)/(\left((4)/(3) \pi (0.8)^3\right))`

`\sf \rightarrow b =1289155`