Posted by **jean** on Thursday, June 9, 2011 at 1:51am.

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.

- Geometry -
**Reiny**, Thursday, June 9, 2011 at 7:48am
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.

radius of one can= 2

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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