A closed hollow vessel is in the form of a rightcircular cone, together with its base, and
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A closed hollow vessel is in the form of a rightcircular cone, together with its base, and is made of sheet metal of negligible thickness. Express the total surface area S in terms of the volume V and the semi-vertical angle θ of the cone. Show that for a given volume the total area of the surface is a minimum if sin θ = 1 3 . Find the value of S if V = 8/3πa3.
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