Posted by **Please Help** on Tuesday, March 1, 2011 at 10:46pm.

Tennis balls withal diameter of 2.5 in. Are sold in cans of three. The can is a cylinder. What is the volume of the space in the can not occupied by tennis balls? Assume the balls touch the on the sides,top and bottom.

- Math -
**MathMate**, Tuesday, March 1, 2011 at 11:37pm
Height of cylinder, h

= 3 times the diameter of tennis balls

= 3*2.5"

= 7.5"

Diameter of cylinder, d

= diameter of tennis ball

= 2.5"

Volume of cylinder

= πd²h/4

Volume of each tennis ball, v

= 4π(d/2)³/3

Volume of three tennis balls

= 3v

= 4π(d/2)³

Interstitial space

= Volume of cylinder - volume of three balls.

- Math -
**Anonymous**, Thursday, May 9, 2013 at 12:39pm
approximately 12.27 in^3

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