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The figure below shows a circle centre O and radius R cm. The minor arc AB subtends an angle of 105˚ at the centre of the circle and the corresponding sector AOB has an area of # 528cm^2#. (Take π=22/7)
a) Find the radius R of the circle.
b) The sector is removed and folded into a cone, calculate:
i. the area of the cone so formed.
ii. to 2 decimal places the height of the cone.
iii. to the nearest whole number, the volume of the cone.