Question

nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40 nickels?

Answer 1

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels (
`V_(net)`), measured in cubic milimeters, is the product of the number of elements (
`n`), no unit, and the volume of each element (
`V`), measured in cubic milimeters. That is:

`V_(net) = n\cdot V` (1)

By volume equation of right cylinder, we have the following formula:

`V_(net) = (\pi)/(4)\cdot n \cdot D^(2)\cdot h` (2)

Where:

`n` - Amount of nickels, no unit.

`D` - Diameter of nickel, measured in milimeters.

`h` - Thickness of nickel, measured in milimeters.

If we know that
`n = 40`,
`D = 20\,mm` and
`h = 2\,mm`, then the net volume of the stack of nickels is:

`V_(net) = (\pi)/(4)\cdot (40)\cdot (20\,mm)^(2)\cdot (2\,mm)`

`V_(net) \approx 25132.741\,mm^(3)`

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.