Question

The two cones are congruent.



Determine the unknown measures of the cones.

A =
units

B =
units

C =
units

D =
units3

Answer 1

I’m missing the diagram or the numeric labels for the two cones, so I can’t compute A, B, C, D yet. Could you either paste the picture or type the given dimensions and which label (A–D) corresponds to radius, height, slant, or volume for each cone?

Here’s what I need and what I’ll do once you provide it:

What to send
- An image of the two cones, or a clear text description listing the given numbers and which parts they label (e.g. “left cone: radius = 3, slant = 5, height = ?, right cone: A = ?, B = 5, C = 3, …”).
- Which label (A, B, C, D) corresponds to which measurement (radius, height, slant, or volume).

How I’ll solve it once I have the picture/data
1. Because the cones are congruent, corresponding linear measures are equal (radius r, height h, slant ℓ are the same for both cones).
2. Use the Pythagorean relation for a right circular cone: ℓ^2 = r^2 + h^2 to find any missing linear measure when two are known.
3. Compute the volume with V = (1/3)π r^2 h. (D will be in cubic units.)
4. Report A, B, C with unit length and D with units^3.

If you paste the diagram or the numbers now I’ll compute A–D.