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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Area and volume of solid of revolution
Replies: 14   Last Post: Nov 28, 2005 11:13 PM

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RCA

Posts: 11
Registered: 11/26/05
Re: Area and volume of solid of revolution
Posted: Nov 26, 2005 8:52 PM
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Thanks, Narasimham.

Agreed about the area - why is the volume also not a function of the
slant length/arc (in the general case)? Consider the case where the
slant is very sharp (almost parallel to the y axis) versus just
parallel to the x-axis - are the volumes of the solid of revolution the
same? Since the volumes will be different, the volume should also be a
function of the slant length (or infinitesimal length along the curve
ds) and not just a function of the x component dx. Am I missing
something?

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