Given y =( 2x+1 )^0.5 and limits x = 0 , x = 1.5 , find the exact volume of the solid generated when a full rotation about the x-axis .

Using V = pi* integral of y² between b and a with respect to x , where V is the volume of generated solid.y² = 2x + 1 Integrating between given limits yields a result of 3.75Multiplying through by pi leaves the final result as 3.75 pi as an exact solution .