Question

The quarter is a circular coin with a diameter of 24.26 millimeters and a thickness of 1.75 millimeters. What is the volume of a stack of 20 quarters to the

nearest cubic millimeter?

Hint

8090

64,714

32,357

16,179

Answer 1

16,179 mm3

Explanation:

First we need to calculate the volume of one coin:

V = t * (pi*d^2)/4

Where V is the volume, t is the thickness and d is the diameter.

So, we have:

V = 1.75 * (pi * 24.26^2)/4 = 808.9274 mm3

Now, as we have a stack of 20 coins, to find the total volume, we just need to multiply the volume of one coin by 20:

Total Volume = 20 * V = 20 * 808.9274 = 16,178.55 mm3

The nearest cubic millimeter is 16,179 mm3