Question

1. according to cavalieris principle, what remains unchanged when a stack of paper cups is tilted?

a. the height of the stack
b. the volume of the stack

Explanation:

Cavalieri's Principle states that if two solids have the same height and the same cross - sectional area at every level, they have the same volume. When a stack of paper cups is tilted, the height of the stack may change in terms of the vertical height (but the "height" in the sense of the distance along the axis of the stack before tilting is not the key here), while the volume, which depends on the amount of space the stack occupies, remains unchanged according to Cavalieri's Principle. The volume of the stack of cups (the total space they take up) is what stays the same when tilted, as the principle relates to volumes of solids with equal cross - sectional areas at each height (or in this case, the equivalent for a stack of cups). The height of the stack (vertical height) might change when tilted, but the volume remains.

Answer:

b. The volume of the stack