Volumes in cylindrical coordinates Use cylindrical coordinates to find the volume of the following solids.
32. The solid cylinder whose height is 4 and whose base is the disk
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- A wedge is cut out of a circular cylinder of radius 14 by two planes. One plane is perpendicular to the axis of the cylinder. The other intersects the first at an angle of 30° along a diameter of the cylinder. Find the volume V of the wedge, taking rectangular cross-sections to be parallel to the line of intersection of the two planes, which is the x-axis. (Let r = 14.) V = В 30° A y Barrow_forwardUse cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 + y2 = 4 and the sphere x2 + y2 + z2 = = 9.arrow_forward
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