Posted by **Jessica** on Tuesday, October 20, 2009 at 9:00pm.

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

y=1/x^4, y=0, x=2, x=9;

about y=–5

- calculus -
**Reiny**, Tuesday, October 20, 2009 at 9:52pm
method: find the volume of the whole solid, then subtract the volume of the cylinder.

Volume of whole solid

= pi(integral)(1/x^4 + 5)^2 dx from 2 to 9

= pi[-1/(7x^4) - 10/(3x^3 + 25x] from 2 to 9

which came out to 551.077

the volume of the cylinder is

pi(5^2)(7) = 549.779

so the volume of the shape you described is 1.298

not too sure about my arithmetic.

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