Question

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

Answer 1

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.

Answer 2

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.