# algebra

A graduated cylinder with a radius of 3 cm contains water to a height of 9 cm. Yann adds 15 steel balls, each with a diameter of 2.54 cm.

What is the total volume of the contents in the cylinder after the balls are added? Use 3.14 to approximate pi and round your answer to one decimal place.
v=4.3 3,14 3

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1. each ball has volume

4/3 pi * (2.54/2)^3 = 8.58 cm^3

There are 15 of them, so add 15 times that to the volume of water, which is

pi * 3^2 * 9 = 254.47

Note how they coyly avoided saying the balls were 1" in diameter. Saved you the step of doing the conversion to cm.

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