A cylinder container 18 inches tall and a diameter of 12 inches is completely filled with vanilla, chocolate, and strawberry ice cream in a ratio of 32:1. What is the volume of strawberry ice cream in the container?
1 Answer
There are 339.3 cubic inches of strawberry ice cream.
Explanation:
Assuming you mean vanilla:chocolate:strawberry in a 3:2:1 ratio, here's what you do:
Think of the ratio as meaning "3 parts vanilla" to "2 parts chocolate" to "1 part strawberry".
That means there are six "parts" in total, and one is strawberry. So, the strawberry takes up one-sixth of the volume.
You could calculate the entire volume of the cylinder and take one-sixth of that amount, but it's quicker to take one-sixth of the height (3 inches) and find the volume of a cylinder 3 inches high and 12 inches in diameter.
To find volume of a cylinder, calculate the area of the base (a circle with a radius of 6 inches) and multiply by the height.
Area = #pir^2=pi6^2 = 113.1 square inches
Now multiply by the height of 3 inches, and you get 339.3 cubic inches of strawberry ice cream.
