January 29th, 2013, 08:36 AM  #1 
Member Joined: Oct 2012 Posts: 94 Thanks: 0  help setting these upslicing
31. The vertex of a pyramid lies at the origin, and the base is perpendicular to the xaxis at x=4. The cross sections of the pyramid perpendicular to the xaxis are squares whose diagonals run from the curve y=5x^2 to the curve y=5x^2. 33. The base of a solid is the circle x^2 + y^2 = a^2. Each section of the solid cut by a plane perpendicular to the xaxis is a square with one edge in the base of the solid. Find the volume of the solid. 
January 29th, 2013, 11:25 AM  #2  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: help setting these upslicing Quote:
. Taking each square to have "thickness" dx, it has volume and integrating that from 0 to 4 will give the volume. Quote:
That's all pretty standard. I am puzzled that you showed no attempt of your own.  
January 29th, 2013, 08:02 PM  #3 
Member Joined: Oct 2012 Posts: 94 Thanks: 0  Re: help setting these upslicing
Our professor gave us one example on the board, only one homework problem on this topic, and there was very little instruction in the book. I am not sure why you are puzzled, but thanks anyway for helping.


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