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 = 1152288π or appr. 247 cubic inches.