Use polar coordinates to find the volume of the given solid. Above the cone z = Vx2 + y2 and below the sphere x2 + y2 + z2 = 49

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 2, y = 13 y = x2; about the x-axis %3D V = Sketch the region. y 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 -2 -1 1 - 2 -1 1 -0.5 -0.5 -1.0F -1.0F y y 1.5 1.5 1.0 1.0 0.5 0.5 -2 -2 -0.5 -0.5

Find the area of the surface. The part of the plane 3x + 2y + z = 6 that lies inside the cylinder x2 + y2 = 4