\fStep 3: Find the volume. a} Graph your vase. You want to center the base of the vase at the origin so that it is sym metric across the I-HJEI, and trace half of it in the rst quadrant. You need to determine the radius of the glass at regularly spaced height intervals, and generate a table of values. Be precise! In} Create a piecewise equation to model your vase. You may use the regression function on your calculator to determine the equation. Once you generate your equation. rotate it about the x-axis to generate a solid. 1:} Calculate the volume of the solid using the disk method. You may use a calculator to integ rate. but show your work. cl) Use a measuring cup to measure the volume and determine the difference between the actual volume and the volume generated using your equation. (Hint: 1 cup = 236.583 cms; 1 cup = 14.43115 ins} What is the error between the true volume and the volume you found with the egudion'? What might have caused this error in volume? Explain. a]: Calculate the surface area of your vase. You may use a calculator, but show your equations