A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 15 cm, and the base has a diameter of 10 cm. The cooler has 18,840 cm cubic of water in it. How many cups can be filled from the cooler? Use 3.14 for PI, and do not round your answer.

Question

Mathematics

Martin Middleton

3 May, 17:48

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 15 cm, and the base has a diameter of 10 cm. The cooler has 18,840 cm cubic of water in it. How many cups can be filled from the cooler? Use 3.14 for PI, and do not round your answer.

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Answers (1)

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Mckee · Answer 1

The water in the cooler can fill 48 cups.

Step-by-step explanation:

In order to find how many cups can be filled by the cooler we need to calculate the volume of water each cup can hold up at a time. Since the cups are cone shaped their volume is given by:

Volume of cup = (1/3) * pi * (r^2) * h

Volume of cup = (1/3) * 3.14 * (5^2) * 15 = 392.5 cm^3

Now we divide the amount of water in the cooller by the individual volume each cup can hold to determine the number of cups that can be filled up.

Number of cups = Total volume of water / Volume of each cup

Number of cups = 18840/392.5 = 48 cups