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A cylinder is full at 471 cm³ and has a radius of 5 cm. It currently contains 314 cm³ of water.

What will the difference in the height of the water be when the cylinder is full?

Use 3.14 to approximate pi.

1 Answer

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so to start, you come up with equations for full volume and for the current volume. the volume of a cylinder is V=3.14r^2h and to find the height to start we plug in the radius (5) and the volume (471). 471=3.14(25)h and solve for h. h=6 when it is full. Then, we do the same thing to the second one where the volume is 314 and the radius is obviously still 5. 314=3.14(25)h and the height comes out to be 4. 6-4=2 so the difference between the two is 2.
User Thrusty
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