1. You are constructing a right circular cone, whose lateral surface area should be as accurate as possible. The lateral surface area of a right circular cone is given by S = πrVr2 + h?, where r is the radius of its base and h is the height of the cone. Suppose we know that the height and the radius of a right circular cone are both 20 cm with a maximum error in measurement of 0.1 cm. (a) Use differentials to estimate the maximum error in the calculated area of the cone. (b) What is the relative error? What is the percentage error?

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