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Finding volume using integrals: base x^2 + y^2 = 4, cross-sections perp to x-axis are

lifelonglearner26

New member
Joined
Feb 2, 2017
Messages
2
Hi all! I hope all is well. I am struggling with this problem:

The base of a solid is the unit circle x^2 + y^2 = 4, and its cross-sections perpendicular to the x-axis are rectangles of height 10. Find its volume.


I know I need take the integral of the area of the rectangle, so I what I did was A=lw, A=10*sqroot(x^2-4), but when I integrate that it doesn't work out! Any help would be appreciated! Thanks!
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
18,087
Hi all! I hope all is well. I am struggling with this problem:

The base of a solid is the unit circle x^2 + y^2 = 4, and its cross-sections perpendicular to the x-axis are rectangles of height 10. Find its volume.


I know I need take the integral of the area of the rectangle, so I what I did was A=lw, A=10*sqroot(x^2-4), but when I integrate that it doesn't work out! Any help would be appreciated! Thanks!
Exactly what did you integrate and how. Include limits of integration.

Please share detailed work.
 
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