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A bucket open at the top and made up of a metal sheet is in the form of a frustum of a cone. The depth of the bucket is and the diameter of its upper and lower circular ends are and the diameter of its upper and lower circular ends are and and respectively. Find the cost of the metal sheet used in it at the rate of respectively. Find the cost of the metal sheet used in it at the rate of .

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answer is D.

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Detailed Solution

We have the given conditions as follows:

Let the slant height be

.
So slant height,
Question Image

So the total surface area of the frustum
Question Image

So the cost of metal sheet used at the rate of

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