Difference between revisions of "2004 AIME I Problems/Problem 11"
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== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| + | * [[2004 AIME I Problems/Problem 10| Previous problem]] | ||
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| + | * [[2004 AIME I Problems/Problem 12| Next problem]] | ||
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* [[2004 AIME I Problems]] | * [[2004 AIME I Problems]] | ||
Revision as of 01:44, 6 November 2006
Problem
A solid in the shape of a right circular cone is 4 inches tall and its base has a 3-inch radius. The entire surface of the cone, including its base, is painted. A plane parallel to the base of the cone divides the cone into two solids, a smaller cone-shaped solid 
and a frustum-shaped solid 
in such a way that the ratio between the areas of the painted surfaces of and 
and the ratio between the volumes of and are both equal to 
Given that 
where 
and 
are relatively prime positive integers, find 
Solution
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