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 02:44, 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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