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QuizMultiple Choice

Applications with the Volume of a Cylinder — Quiz

Question 1 • Foundations of Math 1

A swimming pool is being filled with water. The diameter of the pool is 27 feet, and the height is 4 feet. Which formula best represents the volume of the pool?

Answer
A
cap v is equal to pi 13 point 5 squared 4
B
cap v is equal to pi 13 point 5 4
C
cap v is equal to pi 27 4
D
cap v is equal to pi 27 squared 4

Explanation

A swimming pool with a circular base has the shape of a cylinder, whose volume is V = πr²h. The radius is half the 27-foot diameter, so r = 13.5 feet, and the height is 4 feet. Substituting gives V = π(13.5)²(4), which is choice A.

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