Answer to Question #65786 in Math for devangi

Question

A solid of revolution is formed by rotating about the x-axis the area bounded between
x = ,0 x = 1 and the curve given by the table
x- f(x)
0 - 1.0
0.25 - 0.98965
0.5 - 0.9587
0.75 - 0.9089
1.0- 0.841

Find the volume of the solid so formed using
i) Trapezodial rule ii) Simpson’s rule