Question

Explain why the volume of these two stacks of quarters are equal? Use Cavaliens principle in your explanation (If you need to)

Answer 1

Given the word problem, we can deduce the following information:

1. Two stacks of 18 pennies each are shown.

To determine if the volumes of the given stacks of quarters are equal, we note that Cavelieri's Principle states:

The volumes of two solids are equal if the areas of the corresponding sections drawn parallel to some given plane are equal.

Since each penny in both stacks has the same base area and has the same number of pennies. Therefore, the volumes of the given stacks are equal.