Multiple choice

A cylinder with a height of 8 centimeters and a radius of 3 centimeters is 75 percent filled with water. What is the volume of the water in cubic centimeters?

  1. 45π

  2. 48π

  3. 54π

  4. 72π
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C Correct answer
Explanation

Volume of cylinder = pi * r^2 * h = pi * 3^2 * 8 = 72pi. 75% of 72pi = 0.75 * 72pi = 54pi.

AI explanation

First, find the total volume of the cylinder using the formula V = pi * r^2 * h, which gives V = pi * 3^2 * 8 = 72 * pi cubic centimeters. Since the cylinder is 75 percent filled with water, multiply the total volume by 0.75 to find the water volume. This calculates to 72 * pi * 0.75 = 54 * pi cubic centimeters.

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