Multiple choice

Sarah, an aspiring artist, decided to capture the essence of a summer sky in her latest masterpiece. She bought a paint bucket with a base, having a radius of 12 centimeters. Pouring her favorite shade of blue into the bucket, she noticed it filled to a volume of 4,032π cubic centimeters. What is the height, in centimeters, of the paint bucket?

  1. 8

  2. 12

  3. 18

  4. 28
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of cylinder = pi * r^2 * h. Given V = 4032 * pi and r = 12. So, 4032 * pi = pi * 144 * h. h = 4032 / 144 = 28.

AI explanation

Assuming the paint bucket is a cylinder, its volume is calculated as V = pi * r^2 * h. We substitute 4032 * pi for V and 12 for r, resulting in 4032 * pi = pi * 12^2 * h. Dividing 4032 by 144 yields a height of 28 centimeters.

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