y y= sin(x³)

Use the method of disks and washers (do not use any other method) to find the volume of the solid that is obtained by rotating the region enclosed by y = 4x?, y = 16, x = 0 about the r-axis. Sketch the region, the solid, and a typical cross section. You must show your work.

Use the general slicing method to find the volume of the following solid. The solid with a semicircular base of radius 10 whose cross sections perpendicular to the base and parallel to the diameter are squares The volume of the solid is cubic units. (Type an exact answer.)

Please include all your work and explain why you did what you did. For example, explain where you used the shell method if you used it, the disk method, or the washer method. Please also show every step. Thank you!

Find the volume of the first-octant portion of the "wedge" of the sphere x? + y? + z? = 64 bounded by the planes y = V3x and x = y. Write the exact answer. Do not round. Keyp Keyboard Shor

Please solve the screenshot & explain the steps. Thanks!