Question

You have 9 gallons of lemonade to sell. You use cone-shaped cups that are 10 centimeters in diameter and 12 centimeters tall. Each customer uses one paper cup. How many paper cups will you need if you sell all of the lemonade? (1 gal ≈ 3785 cm3)

Answer 1

Answer:27 paper cups.

Explanation:

The volume of each cone-shaped cup can be calculated using the formula:

V = (1/3)πr^2h

where r is the radius of the cone (half the diameter), and h is the height of the cone.

Substituting the given values, we get:

V = (1/3)π(10/2)^2(12) ≈ 1256.64 cubic centimeters

We can convert the 9 gallons of lemonade to cubic centimeters using the conversion factor given:

1 gallon ≈ 3785 cubic centimeters

Therefore:

9 gallons * 3785 cubic centimeters/gallon ≈ 34,065 cubic centimeters of lemonade

To find out how many paper cups are needed, we can divide the volume of the lemonade by the volume of one cone-shaped cup:

34,065 cubic centimeters / 1256.64 cubic centimeters ≈ 27 cups

Therefore, approximately 27 paper cups are needed to sell all of the lemonade.