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A sector of a circle of radius 40 cm subtends an angle of 126° at the centre of the circle. (Take π=22/7)
(a) Calculate
i) the area of the sector
ii) the length of the arc.
(b) The sector is folded to form an inverted right cone. Calculate
(i) the base radius of the cone
(ii) to one decimal place the vertical height of the cone.
(c) Calculate the capacity of the cone in litres.