please answer all these question

(a) As illustrated in Figure 4(a), derive the formula for the volume of a pyramid whose altitude is / and whose base is a square with sides of length a. (5 marks) (b) Find the area of the surface that is generated by revolving the portion of the curve y = x between x = 0 and x = 1 . Sketch the curve and imagine revolving it about the x-axis. (7 marks) (c) Find the arc length of the curve y = x3/2 from (1,1) to (2, 2v2) Figure 4(c) in two ways. (8 marks) y-axis B(0,h) VO x-axis C ( 1/2a, 0) Figure 4(a) y (2,2V/2) y = x3/2 (1,1) X Figure 4(c)