A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 9 cm, and the...

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A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 9 cm, and the base has a diameter of 6 cm. The cooler has 12,717 cm³ of water in it. How many cups can be filled from the cooler?
Use 3.14 for π, and do not round your answer.

SnapAndSolve AI · Accepted Answer

To find how many cups can be filled, we first need to calculate the volume of one cup. The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius and h is the height. Given the diameter is 6 cm, the radius r is 3 cm. The height h is 9 cm.

Substitute the values into the formula:

V = (1/3) * 3.14 * (3)² * 9

V = (1/3) * 3.14 * 9 * 9

V = (1/3) * 3.14 * 81

V = 84.78 cm³

Now, divide the total volume of water by the volume of one cup to find the number of cups:

Number of cups = 12,717 / 84.78 ≈ 150

Therefore, approximately 150 cups can be filled from the cooler.

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