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A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water. How much water is in the cylinder? Give your answer in terms of pi. 1,162π in3 1,179π in3 1,215π in3 1,251π in3

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altavistard

Answer:

1179π in³  (2nd answer choice)

Step-by-step explanation:

Find the volume of the empty cylinder and then the volume of the ball.

Subtract the latter from the former to answer this question.

Vol of Cyl:  πr^2*h.  Here, that comes to:

π(9 in)²*(15 in) = 1215π in³

Vol. of ball:  (4/3)π*(3 in)³

Here that comes to 36π in³

Subtracting 36π in³ from 1215π in³, we get 1179π in³  (2nd answer choice)

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