Assignment:
Q1) Find the volume of the solid bounded by the paraboloid x2 + y2 = 2z, the plane z = 0 and the cylinder x2 + y2 = 9.
Q2) Find the volume of the region in the first octant bounded by x + 2y + 3z = 6.
Q3) Find the area of the solid that is bounded by the cylinders x2 + z2 = r2 and y2 + z2 = r2.
Q4) Find the volume enclosed by the surfaces z = 8 - x2 - y2 and z = x2 + 3y2.
Provide complete and step by step solution for the question and show calculations and use formulas.