Calculus

This type of problem requires solving a triple integral. Triple integrals are often difficult to solve and require step-by-step calculations. In this case, you would need to set up the integral to describe the volume of the solid, make sure to include the line y=6, rewrite the equations in terms of Integrals, rotational axes, and limits of integration. Then, you can use a computer algebra system or numerical methods to solve the integral. Without a specific answer, it is impossible to check if your answer is correct.