SOLUTION: A student has a tennis ball call with a flat top and bottom containing three tightly fitting tennis balls. Why is the circumference of the top longer than the height of the can?

Question 734191: A student has a tennis ball call with a flat top and bottom containing three tightly fitting tennis balls. Why is the circumference of the top longer than the height of the can?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A student has a tennis ball call with a flat top and bottom containing three tightly fitting tennis balls. Why is the circumference of the top longer than the height of the can?
.
Let r = radius of a tennis ball
.
Since the can holds three tennis balls stacked vertically:
diameter of each ball is 2r
the height then is
3(2r) = 6r
.
The circumference of the can must be the circumference of the ball:
(pi)(diameter)
(3.14)(2*r)
6.28r
.
Therefore, we see that the circumference is greater than the height.

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