Homework Help: math

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.

Answer this Question

Related Questions

geometry - What is volume of a rectangular container that is 15 inches long,3 1/...
Geometry - A cone and cylinder both have a radius of 3 inches and a height of 6 ...
Algebra 2 - Can you double check my answer The lengths of the sides of a ...
math - A cylindrical jar with height 8 inches and diameter 6 inches is filled to...
math - geometry answers "You have a rectangular sheet of paper with ...
Math - The dimensions of an aquarium are 20 inches long, 14 inches wide, and 18 ...
Math - The dimensions of an aquarium are 20 inches long, 14 inches wide, and 18 ...
Math - The dimensions of an aquarium are 20 inches long, 14 inches wide, and 18 ...
Math - A picnic cooler is shaped like a rectangular prism. The dimensions inside...
Geometry - A flush tank on a toilet is rectangular with dimensions of 21 inches ...

For Further Reading

First Name:
School Subject:
Answer: