1. (24 marks) A cone has slant height I m, vertical height h m and base radius r m. Assume that the sum of the circumfer
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1. (24 marks) A cone has slant height I m, vertical height h m and base radius r m. Assume that the sum of the circumfer
1. (24 marks) A cone has slant height I m, vertical height h m and base radius r m. Assume that the sum of the circumference of base and slant height of the cone is 2 m. (a) Represent the total surface area S of the cone in terms of r. (b) Find the value of r such that S is local maximum. (c) Find the least value of S for r in the interval [0.10,0.30). (8 marks) (8 marks) (8 marks)