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 5 = TTT'VT'? + g, where r is the radius of its base and ii is the height of the wane. Suppose we know that the height and the radius of a right circular cone are both 2t] cm with a maximum error lI1 IEHllI'EIIlEt- 0f ] CIl'l. {a} Use differentials to estimate the maximum error in the calculated area of the cone. {b} 1|What is the relative error? (c) 1|What is the percentage error\