Use Cylindrical Coordinates to find the volume of the solid inside the hemisphere 36-x -y and inside the cylinder x² +y² =9 above the xy plane. Exact Volume Only z =

Find the volume of the described solid. 7) The solid lies between planes perpendicular to the x-axis at x = -5 and x = 5. The cross sections perpendicular to the x-axis are circular disks whose diameters run from the parabola y = x² to the parabola y = 50-x². Include a graph as part of your answer.

Use the method of disks or washers, or the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated axis. Sketch the region and a representative rectangle. y= 2x, y = 4x - 2, y = 8; the y-axis

Find the volume of the solid that lies within both the cylinderx2 + y2 = 1 and the sphere x2 +y2 + z2 = 16. Use cylindrical coordinates.  Could you pls explain the way to get to the final answer

Find the volume of the solid with the semicircle base y = sections perpendicular to the x-axis are squares. V9 2 x and the cross