October 16th, 2011, 07:17 PM  #1 
Senior Member Joined: Sep 2011 From: New York, NY Posts: 333 Thanks: 0  Right Circular Cone Find the volume V of the described solid S. A frustum of a right circular cone with height h, lower base radius R, and top radius r This one I am not sure about. I guess they are just asking for a general formula because they dont give any numbers? My best guess is to integrate the volume of a cylinder from R to r: but I think that is reaching at best. 
October 16th, 2011, 07:43 PM  #2 
Global Moderator Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,069 Thanks: 395 Math Focus: The calculus  Re: Right Circular Cone
Think of it as a volume by slicing, where we slice the frustum into a stack of disks: x will be a linear function of y, passing through the points (R,0) and (r,h): thus we have: Let giving: 
October 16th, 2011, 07:58 PM  #3 
Senior Member Joined: Sep 2011 From: New York, NY Posts: 333 Thanks: 0  Re: Right Circular Cone
Impressive. The solution is so much more involved that I expected.

October 19th, 2011, 12:10 AM  #4  
Global Moderator Joined: Dec 2006 Posts: 11,851 Thanks: 404  Quote:
 

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