December 18th, 2012, 12:21 PM  #1 
Newbie Joined: Dec 2010 Posts: 17 Thanks: 0  ONE OF MANY ERRORS IN CALCULUS2
I will show one real mistake of CALCULUS. We look the link: http://en.wikipedia.org/wiki/Partial_derivative(Examples) We see a formula of a full derivative of volume of a cone on height: We integrate this derivative and we receive... cylinder volume: Here to you one real mistake! 
December 18th, 2012, 03:27 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,558 Thanks: 602  Re: ONE OF MANY ERRORS IN CALCULUS2
r for a cone is a function of h, r for a cylinder is constant. The integral you wrote is for constant r, so it is wrong for a cone. In a cone r=(Hh)tana, where H is the height of the cone and a is the cone half angle. 

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