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20 October, 02:32

A stack of 39 pennies is exactly as tall as a stack of 31

nickels. Do the two stacks have the same volume?

Explain

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Answers (2)
  1. 20 October, 03:20
    0
    Answer: The volumes are different.

    Step-by-step explanation:

    We know that a penny has a smaller radius than a nickel.

    Now, when we do stacks of coins we are creating cylinders, and the volume of a cylinder can be calculated as:

    V = (pi*r^3) * h

    Where pi = 3.14

    r is the radius of the cylinder and h is the height.

    We have that in bot cylinders h is the same value, but because the pennies have a smaller radius, then the cylinder of pennies has a smaller radius than the other, this means that the volume will also be smaller.

    So the volumes are different.
  2. 20 October, 04:49
    0
    No, they don't

    Step-by-step explanation:

    Two cylinders are formed. The volume of a cylinder takes into account its height and the area of its base. A nickel has a greater diameter than a penny, then, the nickel stack has a greater area of its base, and therefore it has a greater volume.
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