Final answer:
The volume of a solid of revolution, determined by revolving the area between y=x and y=√x around the line x=3, using the method of cylindrical shells or washers.
Step-by-step explanation:
The calculation of the volume of a solid of revolution using calculus. Specifically, the volume is determined by revolving the area between the curves y=x and y=√x around the vertical line x=3. To calculate this, we use the method of cylindrical shells or washers, depending on the specifics of the region and axis of rotation.
An integral is set up to represent the sum of infinitely many thin cylinders or washers which approximate the solid. The integral would typically consider the difference in the radii from the rotation line (x=3) to the x values on each curve and the height as defined by the differential between the two functions over the interval of intersection.