Step 3: Find the volume.a) Graph your vase. You want to center the base of the vase at the origin so that it is symmetricacross the x-axis, and trace half of it in the first quadrant. You need to determine the radius ofthe glass at regularly spaced height intervals, and generate a table of values. Be precise!HeightRadius3 units6.56.7.9.1.75.128.5159.518102195248.527b) Create a piecewise equation to model your vase. You may use the regression funetion onyour calculator to determine the equation. Once you generate your equation, rotate it aboutthe x-axis to generate a solid. c) Calculate the volume of the solid using the disk method. You may use a calculator tointegrate, but show your work.d) Use a measuring cup to measure the volume and determine the difference between theactual volume and the volume generated using your equation. (Hint. 1 cup = 236.588 cm; 1cup = 14.4375 in)4.5 cups= 1064.646 cm cubedWhat is the error between the true volume and the volume you found with the equation?What might have caused this error in volume? Explain.e) Calculate the surface area of your vase. You may use a calculator, but show your equations.

Given the table, h R 3 6.5 6 7 9 7.75 12 8.5 15 9.5 18 10 21 9.5 24 8.5 27 7…

Graph your 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. You need to determine the radius of the glass at regularly spaced height intervals, and generate a table of values. Be precise! Height Radius 3 units 6.5 6. 1.12. 12 8.5 15 9.5 18 10 21 9.5 24 8.5 27 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.

Graph your 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. You need to determine the radius of the glass at regularly spaced height intervals, and generate a table of values. Be precise! Height Radius 3 units 6.5 6. 1.12. 12 8.5 15 9.5 18 10 21 9.5 24 8.5 27 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.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.2: Pyramids, Area, And Volume

Problem 33E

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