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`.

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

Find, by integration , the volume of the solid generated by revolving about the y-axis, the region enclosed by x^(2) =1+y and y = 3 .

Find , by integration , the volume of the solid generated by revolving about y axis, the region bounded by the curve y=logx, y=0,x=0 and y=2 .

Find , by integration , the volume of the solid generated by revolving about y - axis the region bounded between the curve y=3/4sqrt(x^(2)-16),x ge4 , the y - axis and the lines y = 1 and y = 6.

Find the volume of the solid generated by revolving about the x-axis the figure bounded by the straight lines y=x +1, y= 2x +1 and x=2 .