Posted by Jamie on Thursday, July 19, 2012 at 7:19pm.
Find the volume of the solid generated by revolving the region bounded by the given curves and line about the yaxis.
y=50x^2
y=x^2
x=0

calculus  bobpursley, Thursday, July 19, 2012 at 7:46pm
as I see it, the upper and lower boundries cross at 5,25, os the integral will be from x=0 t0 5
so the dArea will be [(50x^2)x^2]dx
and you will rotate that about the y axis, so the volume will be INT 2PI*xdA or
int 2PI x(502x^2)dx
so integrate that. I will be happy to check it.

Volume  MathMate, Thursday, July 19, 2012 at 7:50pm
Like all multiple integral problems, start with drawing a sketch of the bounding curves.
I have done that for you for this time, see:
http://img687.imageshack.us/img687/811/1342739949.png
If curves intersect, find the intersection points. In this case, it is at (5,25).
Then decide how you want to integrate, namely the order of integrating along x first, followed by y, or vice versa.
Using the ring method, and set up the double integral:
Volume
=∫∫2πx dy dx
y goes from x^2 to 50x^2 and
x goes from 0 to 5 (intersection point).

Volume  nana, Saturday, November 26, 2016 at 8:38am
2Pi(500/3)
Answer This Question
Related Questions
 Calculus  Can you please check to see if these answers are correct? I have ...
 Volume of a solid  calculus  Find the volume of the solid generated by ...
 MATH  Find the volumes of the solids generated by revolving the region in the ...
 Calculus  Find the volume of the solid generated by revolving the following ...
 Math  Find the volume of the solid generated by revolving the following region ...
 Calculus  I would like to know if my answers are correct: Disclaimer: We are ...
 calculus  Use the disk or the shell method to find the volume of the solid ...
 calculus  Find the volume of the solid generated by revolving the region about ...
 Calculus  We're learning disks, shells, and cylinders in school but we have a ...
 Calculus  We're learning disks, shells, and cylinders in school but we have a ...
More Related Questions