Question

A softball has a diameter of 3.8in. How many softballs will fit inside of a storage unit that is 6 feet wide,10 feet wide, and 8 feet high?

Answer 1

29090

Explanation:

First of all, we will have to calculate the volumes of a soft ball and the volume of box.

Then we will divide the volume of box with volume of softball to find the number of balls that can be stored in the box.

Diameter of softball = 3.8 in

Radius of softball = 1.9 in = 0.158 ft

Volume of a sphere =
`(4)/(3)\pi r^3`

`\Rightarrow (4)/(3)\pi (0.158)^3=0.0165\ ft^3`

Volume of cuboid box = Length
`*` Width
`*` Height = 6
`*` 10
`*` 8 = 480
`ft^3`

Number of softballs that can fit inside the storage =
`(480)/(0.0165)` = 29090