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Unformatted text preview: V ( S ) = Ã r S 6 ! 3 = µ S 6 ¶ 3 / 2 , < S < + ∞ . Under certain circumstances it would be both permissible and desirable to let the domain of V be the interval [0 , + ∞ ). C01S0M.016: Let r denote the radius, and h the height, of the cylinder. Then its volume V and total surface area A are given by V = πr 2 h and A = 2 πrh + 2 πr 2 (look inside the front cover of the textbook). In this problem we are given h = r , so that V = πr 3 and A = 4 πr 2 . Therefore 2...
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- Spring '11