SOLUTION: A cone is placed inside a cylinder. The cone has half the radius of the cylinder but the height of each figure is the same. The cone is tilted at an angle so it's Peak touches the

Question 1113248: A cone is placed inside a cylinder. The cone has half the radius of the cylinder but the height of each figure is the same. The cone is tilted at an angle so it's Peak touches the edge of the cylinders face. What is the volume of the space remaining in the cylinder after the cone is placed inside it?
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

You haven't given any actual measurements, so we can't get a numerical answer. But it's easy to get an answer as a fraction of the volume of the cylinder.

If we let R be the "big" radius of the cylinder and r be the "small" radius of the cone, then we know r = R/2.

The fact that the cone is "tilted" makes no difference in its volume; it is still

So the volume of the cone is 1/12 the volume of the cylinder; that means the space remaining in the cylinder is 11/12 of its total volume.
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