1985 AIME Problems
Contents
Problem 1
Let , and for
let
. Calculate the product
.
Problem 2
When a right triangle is rotated about one leg, the volume of the cone produced is . When the triangle is rotated about the other leg, the volume of the cone produced is
. What is the length (in cm) of the hypotenuse of the triangle?
Problem 3
Find if
,
, and
are positive integers which satisfy
, where
.