- #1
songoku
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Homework Statement
Show that the volume of an upright cylinder that can be inscribe in an upright cone is 4/9 times the volume of cone
Homework Equations
volume of cone
volume of cylinder
differentiation ??
similarity of triangle
The Attempt at a Solution
I draw the picture of cylinder inside a cone and by using similarity of triangle I got:
(H-h) / h = r / R
where: H = height of cone, h = height of cylinder, r = radius of cylinder, R = radius of cone
But I can't find the answer. The final form I can get is:
Vcylinder / Vcone = 3 (H - h)2/(Hh)
I encountered this problem in differentiation chapter. How to use differentiation to solve this problem?
Thanks