the formula for deriving the volume of a right circular cone is 1/3*pi*r^2*h.how to derive it?
asked Aug 12, 2012 in Geometry Answers by anonymous

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1 Answer

integrate along vertiakal...seerees av thin serkels (disk).

eech disk hav area=pi*r*r.  thik =deltaz

disk volume=area*deltaz

integrate dz from 0 tu hite.

But, first: r=R0*(1-z/hite)

so integrate pi z^2 dz from 0 tu hite

anser=(1/3)pi*r^3, evaluated at r=0 & at r=hite

=(1/3)(area av base)*hite
answered Aug 12, 2012 by anonymous
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