A flat, very thin table has a circular hole with radius 1 and a circular hole with radius 2. The distance between the centres of the two holes is 7. Two spheres, each with radius r, sit in the two holes, touching the table all around the circumference of the holes, such that the spheres are tangent to each other. Determine the value of r.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter11: Addition And Subtraction Of Decimal Fractions
Section: Chapter Questions
Problem 18A: Refer to the plate shown in Figure 117 and determine the following distances. All dimensions are in...
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A flat, very thin table has a circular hole with radius 1 and a circular hole with radius 2. The
distance between the centres of the two holes is 7. Two spheres, each with radius r, sit in the
two holes, touching the table all around the circumference of the holes, such that the spheres
are tangent to each other. Determine the value of r.
Transcribed Image Text:A flat, very thin table has a circular hole with radius 1 and a circular hole with radius 2. The distance between the centres of the two holes is 7. Two spheres, each with radius r, sit in the two holes, touching the table all around the circumference of the holes, such that the spheres are tangent to each other. Determine the value of r.
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