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) (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?
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Let r = radius of a tennis ball
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Since the can holds three tennis balls stacked vertically:
diameter of each ball is 2r
the height then is
3(2r) = 6r
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The circumference of the can must be the circumference of the ball:
(pi)(diameter)
(3.14)(2*r)
6.28r
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Therefore, we see that the circumference is greater than the height.