# Math Help - Cone problem for cone head

1. ## Cone problem for cone head

In the diagram, the bases of the two cones are parallel and the center X of the smaller cone is the midpoint of the height (h) of the larger cone.
a.
Explain now you know that the two cones are similar.

b,
Find the ratio of the volume of the smaller cone to the volume of the larger one.

How do I reach answers in EXACT values?

2. You reach exact values by leaving it as surds and fractions where necessary.

3. thanks Sean - I'm having trouble answering this last item for my class tomorrow. Looks like a is asking to explain that two angles are the same and the height of the smaller cone is 1/2 that of the larger. In b I think the ratio is 6?

4. Originally Posted by TedK
In the diagram, the bases of the two cones are parallel and the center X of the smaller cone is the midpoint of the height (h) of the larger cone.
When you say the "center" of the cone, do you mean its centroid, or the center of the base, or what?