Posted by i'm confused on .
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,
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.