(Solved): 8. (12 points) Use a triple integral to find the volume of the solid outside the cylinder \( x^{2}+ ...

8. (12 points) Use a triple integral to find the volume of the solid outside the cylinder \( x^{2}+y^{2}=1 \) that is bounded above by the sphere \( x^{2}+y^{2}+z^{2}=8 \) and below by the cone \( z=\sqrt{x^{2}+y^{2}} \). 9. (12 points) Find the area of the part of the surface \( z=3 x+y^{2} \) that lies above the triangle with vertices \( (0,0),(2,4) \) and \( (4,4) \).