Question

Put the cones in order from greatest volume (put at the top of the list) to least volume (put at the bottom of the list).

Try to put them in order thinking about the formula instead of actually solving for the volume.

(5 points)

Answer 1

I don't see the cones or their dimensions. Could you upload the picture or list each cone's radius and height?

Meanwhile, here is how to order them without computing the full volume:
- Volume of a cone: V = (1/3)π r^2 h.
- The constant (1/3)π is the same for all cones, so you only need to compare r^2·h for each cone.
- Compute the product r^2·h for each cone (or compare those products mentally) and sort by that product from largest to smallest.

Example: if cones are
- A: r = 2, h = 9 → r^2·h = 4·9 = 36
- B: r = 3, h = 4 → r^2·h = 9·4 = 36
- C: r = 1, h = 20 → r^2·h = 1·20 = 20
then A and B tie for largest, then C.

Send the cone dimensions or image and I’ll put them in order.