Posted by **i'm confused** on Tuesday, January 5, 2010 at 7:16pm.

a rectangular container with dimensions 10 inches by 15 inches by 20 inches is to be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches, what is the maximum number of full cups of water that can be placed in the container without it overflowing?

- Volumes -
**MathMate**, Tuesday, January 5, 2010 at 7:43pm
Calculate the volume of the container:

Vc = 10*15*20 = 3000 in³

Calculate the volume of the cylindrical cup:

Vp= πr²h = π*2²*5 = 62.832 in³

Maximum number of cups without overflow

= 3000/62.832

= 47.75 cups

Therefore, up to 47 cups, the container will not overflow.

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