A Math Forum Project

Jill and Jimmy - Soap Bubbles - Feb. 28-March 4, 1994

            o
           o               Jill and Jimmy were on their lunch break from the
              O            bridge building assignment.  Jimmy was blowing 
                           soap bubbles to pass the time.  One of Jimmy's 
         _                 bubbles turned out to look a little like the one at
       '   `     _         the left.
     / o     \ '   `
    |                \     Suppose Jimmy's "double bubble" consists of two
     \                |    spheres whose centers are 14 cm apart.  If the two
       ` _ ' \             spheres intersect in a circle whose radius is 12 cm,
              ` o     /    and the radius of one sphere is 13 cm, what is the
                ` _ '      radius of the other sphere?
         o

_____________________________________________

    Correct solutions to the problem were submitted by:

    • Susan Quan, Grade 7 Masterman Philadelphia
    • Christina Molinari, Grade 9 Masterman Phila.
    • Hannah Guhm, Grade 9 Masterman Phila.
    • Percy Rosales, Grade 9 Masterman Phila.
    • Derek Morrison and Jill Grobelski, Grade 9, Steel Valley High School, Pa.
    • Joe Sanchez, Grade 10, Shaler Area HIgh School
    • Susie Taylor, Grade 10, Shaler Area High School
    • Jennifer Strong Grade 10, Shaler Area High School
    • Nick Szmyd Grade 10, Shaler Area High School
    • Tim Thiel Grade 10, Shaler Area High School
    • Jerry Shanko Grade 10, Shaler Area High School
    • Ian Ross Grade 10, Shaler High School
    • Rachel Laughlin, Grade 10, Shaler Area H.S.
    • Jim Michalek, Grade 10, Shaler Area High School
    • Tony Aiello, Grade 10, Shaler Area High School
    • Mike Gelik, Grade 10, Shaler Area High School
    • Leslie Shay, Grade 10, Burnaby South Sec School, Burnaby BC
    • Daniel Chan, Grade 10, Burnaby South Sec School, Burnaby BC
_____________________________________________
Next problem || Previous problem || Table of Contents || Forum Home Page _____________________________________________

2 July 1995