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The figure below shows a circle centre O and radius 21cm. The minor arc ABC substends an angle of #120^0# at the centre of the circle. (Take #pi#=#22/7#).
(a) Find the area of the minor sector OABC.
(b) The sector is cut off and folded to form a hollow cone. Find the base radius of the cone.
(c) Calculate to one decimal place the vertical height of the cone.
(d) Calculate to the nearest whole number the capacity of the cone.