Question

Does changing the position of the vertex affect the volume if the height remains the same? Why or why not? (Hint: Think of the cone as a stack of disks of decreasing radius.)

Answer 1

It doesn't change the volume.

Explanation:

If we change the position of the vertex of a cone, it won't change its volume, because we're not changing its height.

When we change the position of the vertex of the cone, we are moving it to left or right, which would give a slant cone. However, its dimensions are the same. The important fact here is that the dimensions of the cone don't change, that's why it would give the same volume.