Question

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 8 cm. how much water is needed to fill 150 cups? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate the radius of the cone

The diameter \(d = 8\) cm, so the radius \(r=\frac{d}{2}=\frac{8}{2}=4\) cm.

Step2: Calculate the volume of one cone

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 4\) cm, \(h=9\) cm, and \(\pi = 3.14\) into the formula:

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Step3: Calculate the total volume for 150 cups

Multiply the volume of one cup by 150: \(150\times150.72 = 22608\) \(cm^{3}\)

Answer:

\(22608\)