UNO High School Problem of the Week Competition

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Problem 10

Five marbles are placed into a cone. Each marble is tangent to adjacent marbles and to the cone wall. If the radius of the top marble is 27 units and the radius of the bottom marble is 12 units, what is the radius of the middle marble?


*Note: picture may not be to scale.

Solution



Students, email your solutions to jwarnke@unomaha.edu. Solutions are due by 11:59PM on Friday November 20th, 2009. Along with your solution, include your name, your school's name, the name of your math teacher or math club moderator, and your year in school