A solid generated when region in the first quadrant is enclosed by curves y=2x^2 and y^2=4x is revolved around the x-axis. What is the volume?

A. Pi/5
B. 2Pi/5
C. 8Pi/5
D. 6Pi/5

Question

A solid generated when region in the first quadrant is enclosed by curves y=2x^2 and y^2=4x is revolved around the x-axis. What is the volume?

A. Pi/5
B. 2Pi/5
C. 8Pi/5
D. 6Pi/5

anonymous · Answer

What type of math are you taking?

anonymous · Answer

calculus

anonymous · Answer

Im assuming your doing multi variable right?

anonymous · Answer

First draw the projection of y=2x^2 and y^2=4x

anonymous · Answer

I already have the area between these two. I just completely forgot how to rotate :P

anonymous · Answer

Well whatever the shape it is you want to reperamatize it according to what the shape resembles.

anonymous · Answer

Does it look like a cone or a sphere then use spherical coordinate or does it look like a cylinder  then use cylindrical coordinates

anonymous · Answer

After you find it then you have to find the normal vector use double integrals to solve for the normal vector with the appropriate boundaries.

anonymous · Answer

can you explain it without multivar?