Question

A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?

Answer 1

Volume of the empty space in the can is 327.05
`cm^3`

Explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1: Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the golf ball =
`(4)/(3)\pi r^3`

Radius =
`(5)/(2)` = 2.5 cm

Substituting the values

Volume of the golf ball

=
`(4)/(3) \pi *(2.5)^3`

=
`(4)/(3) \pi * (15.625)`

=
`(4)/(3) * 49.06`

=
`(196.24)/(3)`

= 65.41

Step 2: Finding the volume of empty space of the can

volume of empty space of the can = volume of 5 golf ball

= 5 X 65.41

= 327.05