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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?

User Leonard Ge
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1 Answer

11 votes

Answer:

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.

User Serge Him
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8.4k points