Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 7y2, x = 7; about x = 7
"Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 7y2, x = 7; about x = 7"
See correction below.
\(\displaystyle 1 - 2y^{2}+y^{4}\)
Oops! Thanks Guest#2, you are correct.
The volume V should be: \(V=98\pi (y-2y^3/3+y^5/5)_1\rightarrow98\pi\times8/15\rightarrow784\pi/15\)
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