A square table (a meter a side) has two spheres on its surface. The spheres have two special properties:
1. The larger is twice the diameter of the smaller, and
2. They are the largest size that will fit on the table without falling off. (They may extend over the edge of the table.)
I. What are the dimensions of the spheres?
II. A third sphere is added next to the other two. What is its largest possible size?
The way I see it the center of each ball must be place on opposite corners. The distace between them on a unit square is 2. The proportion of the diameters is 2 to 1. Therefore, the balls would have a radius of (2)/3 for the smaller ball and (22)/3 for the larger.
Or am I missing something?
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Posted by vilnius
on 2005-06-23 22:22:18 |
No Subject
