For (c) how would I describe it? Should I describe it by stating the new points??

Oh and it's asking for the volume of the rectangle formed by joining the points, I believe 2 dimension shapes doesn't have any volume??

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- Feb 16th 2013, 08:27 AMasilvester635Solids revolution
For (c) how would I describe it? Should I describe it by stating the new points??

Oh and it's asking for the volume of the rectangle formed by joining the points, I believe 2 dimension shapes doesn't have any volume?? - Feb 16th 2013, 09:42 AMhollywoodRe: Solids revolution
No, your rectangle, when revolved around the x-axis, will create a cylinder laying on its side. The base of the cylinder will be created by the line segment from (0,0) to (0,2). The height of the cylinder (in the x-direction) will be 3. You know the volume of this cylinder has to be $\displaystyle \pi(2^2)(3) = 12\pi$.

You should have a formula in your textbook that goes something like $\displaystyle V=\int_a^b\pi(f(x))^2\,dx$ along with some explanation and hopefully some nice pictures. Even though you can figure out the volume another way, you should know how to use integration to get the volume on this simple problem before moving to more complicated problems.

- Hollywood - Feb 16th 2013, 10:14 AMasilvester635Re: Solids revolution
Yes I kind of figured that out a moment ago... Thanks!!!!!!!!