Question

Find the volume of the solid generated by revolution of r = 2a cos 0 about its initial line.​

Answer 1

Answer:

Volume of solid of Revolution in Cartesian Form • Let the y=f(x) be the curve and the area bounded by the curve, the x-axis and the two lines x=a and x=b be revolved about the x-axis. An elementary strip of width dx at point P(x,y) of the curve, generates elementary solid of volume y2dx, when revolved about the x-axis. • Summing up the volume of revolution of all such strip from x=a to x=b, the volume of solid of revolution is given by V = 2dx y P(x,y) y=f(x) O x=a x=b x