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HSA .. c) Show Question 35 (9 marks) From a circular disc of metal whose area is 100m , a sector is cut out and

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HSA .. c) Show Question 35 (9 marks) From a circular disc of metal whose area is 100m , a sector is cut out and used to make a right cone. The radius of the disc is R metres. The perpendicular height of the conc with radius r metres, is h metres. A a) Show that the height of the cone is given by A = , 100 2 b) Show that the volume of the cone is given by v _ " V1005 -127 1 Question 35 continues onto the next page - 26 -c) Show that the volume is maximised when r = Sqrt(200/3pi) C is the most important step please ShOW working :)

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