Question

a company uses paper cups shaped like cones for its water cooler. each cup has a height of 12 cm, and the base has a radius of 3.5 cm. how much water is needed to fill 50 cups? use 3.14 for π, and do not round your answer. cm³

Explanation:

Step1: Calculate the volume of one conical cup

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Given \(r = 3.5\) cm, \(h=12\) cm, and \(\pi = 3.14\).
Substitute the values into the formula:

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First, \(\frac{1}{3}\times12 = 4\). Then \(V=3.14\times12.25\times4\).

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Step2: Calculate the volume of 50 cups

Multiply the volume of one cup by 50. Let \(V_{total}\) be the total volume.
\(V_{total}=153.86\times50\)
\(V_{total}=7693\)

Answer:

\(7693\)