Posted by Anonymous on Tuesday, January 29, 2013 at 11:10pm.
find the volume of the solid generated by revolving around the xaxis: y=e^(x8), y=0, x=0, x=10
So I know you can use the washer method, but the shell method can also be used and it should be better. The issue is I'm not certain how to actually do it. Any help is appreciated!

calc  Steve, Wednesday, January 30, 2013 at 11:46am
washers:
v = ∫[0,10] πr^2 dx
where r = y = e^(x8)
v = π∫[0,10] (e^(x8))^2 dx
= π∫[0,10] e^(2x16) dx
= π/2 e^(2x16) [0,10]
= π/2 (e^4  1/e^16)
shells:
y = e^(x8), so x = 8+lny
v = ∫[e^8,e^2] 2πrh dy
where r = y and h = 10x = 2lny
v = 2π∫[e^8,e^2] y(2lny) dy
= π/2 (y^2(52lny)) [e^8,e^2]
= π/2 (e^4  21/e^16)
Hmmm. better doublecheck my math. Anyway, that's the method.
Answer This Question
Related Questions
 Calculus  Volume By Integration  Find the volume of the solid generated by ...
 Calculus  I would like to know if my answers are correct: Disclaimer: We are ...
 Calculus  Volume by Integration  Find the volume of the solid generated by ...
 Calculus  Can you please check to see if these answers are correct? I have ...
 Halfway solvedcalc  So I'm trying to solve this problem but one thing I don't ...
 Integral calculus  Use the cylindrical shell method to find the volume of the ...
 Calc 2  Use the shell method to find the volume of the solid generated by ...
 calculus  Use the disk or the shell method to find the volume of the solid ...
 Calculus  Using the Disk Method or washer method (im not sure which one) Find ...
 calculus  Use the shell method to set up and evaluate the integral that gives ...
More Related Questions