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 = wrv + M, where 7" 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