Q. 285.0( 3 Votes )

Show that the hei

Answer :

Given; Let S be the surface area, r be the radius, h be the height, and V be the volume of the closed right circular cylinder.

S = 2πr2 + 2πrh



V = πr2h




Differentiating w.r.t x.



For maxima or minima



S = 6πr2



h = 2r



V is maximum when h = 2r


i.e When height of a closed right circular cylinder is equal to the diameter of its base.


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