Find the volume of the solid generated by the revolution of the loop of the curve `x = t^(2), y = t- (t^(3))/( 3)` about x -axis

Find the area enclosed by the loop of the curve , x=t^(2),y =t-(t^(3))/(3)

Find the volume of the solid generated by an arch of the curve y=sin2x about x axis .

Find,by integration, the volume of the solid generated by revolving about the x-axis, the region enclosed by y= 2x^(2) , y = 0 and x=1 .