|October 16th, 2011, 07:17 PM||#1|
Joined: Sep 2011
From: New York, NY
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|
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city
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:
|October 19th, 2011, 12:10 AM||#4|
Joined: Dec 2006
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use calculus to find the volume of a frustum of a right circular cone with height , lower base radius , and top radius .,
find the volume of a frustum of a right circular cone with height h , lower base radius r, and top radius r,
find the volume of a frustum of a right circular cone with height 10, lower base radius 23 and top radius 5,
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