# Geometry

A box is filled with 6 cans of tennis balls. If the emply space was filled with sand, how much sand is needed to fill the box?
Each can has a radius of 2 in. Height of box is 12in.

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1. Wow, those are some huge tennis balls.

anyway....

making some assumptions:
there are 3 balls in a can
the box is filled with cans in a 3by2 arrangement.

height of can = 12 , (3 times the diameter)
volume of one can = π(2^2)(12) = 48π
so volume of 6 cans = 288π

length of box = 12 , (3 diameters)
width of box = 8 , (2 diameters
height of box = 12

volume of box = 12(8)(12) = 1152

empty space = 1152-288π or appr. 247 cubic inches.

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