While keeping the height of the cone constant, move the vertex of the cone so that it is not directly above the center of the base. Check the Allow

oblique and Freeze height boxes to assist you. 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.)

Question

Natalie Blevins

Mathematics

23 July, 10:02

While keeping the height of the cone constant, move the vertex of the cone so that it is not directly above the center of the base. Check the Allow

oblique and Freeze height boxes to assist you. 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.)

+2

Answers (1)

Know the Answer?

Kristopher · Answer 1

No, it doesn't.

Step-by-step explanation:

If we think of the cone as a stack of disks of decreasing radius, and we move the vertex of the cone while keeping the height of the cone, the number of disks don't change nor their radius, it only changes their position respect the original disposition. Then, the volume of the cone remains the same.