A cylindrical measuring jar, whose internal diameter is 16cm, contains water up to a height of 12cm. A solid metallic sphere is gently lowered into the jar and the water level rises to 15.5cm.
a. (i) Find the volume of water displaced by the sphere.
b. (ii) Determine the radius of the sphere.
c. (iii) The sphere is melted and recast into identical solid right circular cylinders each of height 4cm and radius 2cm. How many such cylinders can be made?