Lissie A.

asked • 04/04/22

Rotational Volumes


Could someone do this project as well to see if I did this right? I found this and did it as a practice for my upcoming exam. Thanks!


Find a glass or vase that will hold liquid. Do not choose a glass with straight edges. The more complicated the shape, the better. Graph the vase. You want to center the base of the vase at the origin so that it is symmetric across the x-axis, and trace half of it in the first quadrant. Determine the radius of the glass at regularly spaced height intervals, and generate a table of values. Create a piecewise equation to model the vase. 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. Calculate the volume of the solid using the disk method. Use a measuring cup to measure the volume and determine the difference between the actual volume and the volume generated using your equation. Calculate the surface area of your vase.


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04/04/22

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