If there is just one cylinder, X has infinite volume and infinite surface area, so the ratio can be anything you want it to be! Sincerely, Adam P. Goucher
On the other hand, if there's just one cylinder, the ratio is only two!
Fred Lunnon
On 1/3/11, Dan Asimov <dasimov@earthlink.net> wrote:
Let C_k, k = 1,2,3, . . . , n, . . . be solid unit cylinders in 3-space whose axes all contain the origin.
Let X denote the intersection of all the C_k's.
Prove that the surface area of X is exactly three times its volume.
--Dan
Those who sleep faster get more rest.
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