# Show that the hei

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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