( Maximum marks: 8) 8. The graph of y = -" is transformed onto the graph of y = 33 - 0.08x* by a translation of a units vertically and a stretch parallel to the r-axis of scale factor b. a. Write down the value of a. [1 mark] b. Find the value of b. [2 marks] c. The outer dome of a large cathedral has the shape of a hemisphere of [5 marks] diameter 32 m, supported by vertical walls of height 17 m. It is also supported by an inner dome which can be modelled by rotating the curve y = 33 - 0.08* through 360 about the y-axis between y = 0 and y = 33, as indicated in the diagram. 33 -17 -16 16 Find the volume of the space between the two domes