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7 January, 12:44

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

+2
Answers (1)
  1. 7 January, 13:00
    0
    16,179 mm3

    Step-by-step 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
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