Consider a doughnut that has a diameter of 10cm, including the whole in the middle which has 2 cm. Furthermore, consider that the cross-section of this doughnut is a perfect circle. Your goal is to model this doughnut as a circle rotating around the y-axis, then compute its volume. (a) Considering that the center of the whole is at (0,0), draw a circle to model the cross-section of the doughnut, such that when it rotates around the y-axis, the solid described is a model of the doughnut being considered. (b) Recall that the equation for a circle with a center at (a, b) and radius r is given by (z-a) + (y+b)-. Find an equation for the cross-section of the doughnut, the circle from part (a). (c) Check for any symmetries that may help you, then set up an integral that represents the volume of this doughnut using the Shell Method. (d) Compute the volume of the doughnut in cm.