Question

A cooler has a volume of 5,096 cubic inches. If Jill is using the water in the cooler to fill the cylindrical cups with height of 4 and a diameter of 2 inches, how many full cups should she be able to fill.

Answer 1

Answer:

She will be able to fill 405 cups

Step-by-step explanation:

A cooler has a volume of 5,096 cubic inches.

Jill is using the water in the cooler to fill the cylindrical cups with height of 4 inches and a diameter of 2 inches (radius = 1 inch).

To find how many full cups she can get from the cooler, we have to first find the volume of the cups and divide the volume of the cooler by the volume of the cups.

The volume of a cylinder is given as:

$V = \pi r^2h$

where r = radius and h = height

The volume of the cylindrical cups is:

$V = \pi * 1^2 * 4 = 12.57 in^3$

Hence, the number of cups that she will be able to fill is:

5096 / 12.57 = 405.41 cups ≅ 405 cups

She will be able to fill 405 cups.