Question

During practice, the Northwood football team drinks water from a cylindrical cooler that has a radius of 6 inches and a height of 20 inches. Players use conical paper cups, as shown below. A cone has a diameter of 4.4 inches and a height of 5.5 inches. If the water cooler is filled completely, can each of the 38 players have two full paper cups of water during practice? Explain.

Answer 1

Answer:

The answer would the third option "Yes, because there is enough water in the cooler for about 81 cups total."

Step-by-step explanation:

Answer 2

Approximately 81 conical cups can fill. Therefore, each of the 38 players can fill two full paper cups of water during practice.

Given that, the radius of the cylindrical cooler=6 inches and height=20 inches.

The radius of the conical cup=2.2 inches (4.4/2) and height=5.5 inches.

What are the formulas for the volume of the cylinder and the volume of the cone?

The volume of the cylinder =πr²h and the volume of the cone =1/3 πr²h.

Now, the number of paper cups =The volume of the cylinder cooler/ The volume of the conical cup.

The volume of the cylinder cooler =π×6²×20=720π cubic inches.

The volume of the conical cup =1/3 π×(2.2)²×5.5=8.9π cubic inches.

The number of paper cups =720π/8.9 π=80.89

Approximately 81 conical cups can fill. Therefore, each of the 38 players can fill two full paper cups of water during practice.

To learn more about the volume of the cylinder visit:

https://brainly.com/question/16134180.

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