# Cone problem for cone head

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• Jun 8th 2008, 05:50 PM
TedK
Cone problem for cone head
Answer in exact values
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?
• Jun 8th 2008, 06:05 PM
sean.1986
You reach exact values by leaving it as surds and fractions where necessary.
• Jun 8th 2008, 06:13 PM
TedK
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?
• Jun 8th 2008, 07:58 PM
Reckoner
Quote:

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?