SOLUTION: A cylinder 2 inches in diameter and 10 inches long is cut into 2 pieces. The cut is made at an angle of 15 degrees to the axis through a point on the axis 2 inches from one end.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: A cylinder 2 inches in diameter and 10 inches long is cut into 2 pieces. The cut is made at an angle of 15 degrees to the axis through a point on the axis 2 inches from one end.       Log On


   

Question 1151839: A cylinder 2 inches in diameter and 10 inches long is cut into 2 pieces.
The cut is made at an angle of 15 degrees to the axis through a point on the axis 2 inches from one end.
A 2nd cut is made normal to the axis to produce a "wedge"
What is the volume of the wedge?
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52772) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is half of the volume of the cylinder with the radius 1 inch and the height of 2*tan(15°) inches,


so you can calculate it on your own based on this instruction.


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Alan assumes, that my solution is the volume of the disk.

It is not true.

When I said "half", I took exactly the wedge volume, which is exactly half of this disk's volume.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I think Ikleyn's "solution" gives the volume of a disk, not a wedge.
Can you send a drawing or a sketch?
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I'll work on this tomorrow.
Or maybe over the weekend.
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Interesting problem, IMO.
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After further thought, Ikleyn might be right.