the sunshine orange juice company wants its product in a one quart container(1 quart=107.75 cubic inches). the manufacturer for their containers makes cylindrical cans that have a base that is 5 inches in diameter. what will be the height of the one quart container?
May 20, 2015
See my answer below.
To find the height of the one-quart container, we need to use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Given:
- The base of the can is a circle with a diameter of 5 inches, so the radius is half the diameter, or 2.5 inches.
- The volume of the container is 1 quart, which is equal to 107.75 cubic inches.
Now we can plug in the values into the formula and solve for h:
107.75 = π * 2.5^2 * h
First, calculate the square of the radius: 2.5^2 = 6.25.
107.75 = 3.14 * 6.25 * h
Multiply 3.14 and 6.25: 19.625.
107.75 = 19.625 * h
Divide both sides by 19.625:
h = 107.75 / 19.625
h ≈ 5.5 inches
Therefore, the height of the one-quart container is approximately 5.5 inches.