1988 AJHSME #20
Source:
June 21, 2011
Problem Statement
The glass gauge on a cylindrical coffee maker shows that there are 45 cups left when the coffee maker is full. How many cups of coffee does it hold when it is full? [asy]
draw((5,0)..(0,-1.3)..(-5,0));
draw((5,0)--(5,10)); draw((-5,0)--(-5,10));
draw(ellipse((0,10),5,1.3));
draw(circle((.3,1.3),.4));
draw((-.1,1.7)--(-.1,7.9)--(.7,7.9)--(.7,1.7)--cycle);
fill((-.1,1.7)--(-.1,4)--(.7,4)--(.7,1.7)--cycle,black);
draw((-2,11.3)--(2,11.3)..(2.6,11.9)..(2,12.2)--(-2,12.2)..(-2.6,11.9)..cycle);[/asy]