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?

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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) About Me  (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.