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gulaghasi [49]
3 years ago
14

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

Mathematics
2 answers:
zysi [14]3 years ago
8 0

Answer:

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.

Mazyrski [523]3 years ago
4 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.

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See attachment for the diagram of the coordinate plane showing the line

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