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 December 4th, 2008, 02:49 PM #1 Newbie   Joined: Dec 2008 Posts: 1 Thanks: 0 Right cylinder problem I've been looking at this particular problem and its answer doesn't make sense to me. I think I'm just misunderstanding the wording. The height of a right circular cylinder is 5 and the diameter of its base is 4. What is the distance from the center of one base to a point on the circumference of the other base? The correct answer is 5.39 and I don't get why.
December 4th, 2008, 04:02 PM   #2
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Re: Right cylinder problem

Quote:
 Originally Posted by flophouse I've been looking at this particular problem and its answer doesn't make sense to me. I think I'm just misunderstanding the wording. The height of a right circular cylinder is 5 and the diameter of its base is 4. What is the distance from the center of one base to a point on the circumference of the other base? The correct answer is 5.39 and I don't get why.
The problem is basically a plane geometry problem. Construct a plane, perpendicular to the bases, containing the cylinder axis. In this plane you have a right triangle with one vertex at the center of one base (a), another at the circumference of the other base (b), and the right angle point on the circumference of (a). The length of the hypotenuse of the triangle is what you are looking for, where the 2 legs are 2 (base radius) and 5 (height of cyl.). The answer is sqrt(29), which is approx 5.39.

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# what is the distance between one from the center of the base to a point on the circumference of the other base of a right circular cylinder

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