Show that the total surface area S of a closed cone of base radius r cm and

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Show that the total surface area S of a closed cone of base radius r cm and perpendicular height h cm is given by

S = ' + V(r= + h)

If r and h are each increasing at the rate of
0.25cms−1, find the rate at which S is increasing at
the instant when r = 3 and h = 4.

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