Find the volume, using a double integral in polar coordinates, of the indicated region. Include a 3D graph made using technology. 10) the region bounded by the paraboloid z = x² + y² and the plane z = 36

Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed when the region bounded in Quadrant I by the axes and the lines x = 9 and y = 5 is revolved about the a) x-axis b) y-axis

Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 6, 0 and 6, 4 is rotated about the a x-axis b y-axis

Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a orthocenter? b centroid?