For this section, the main idea is to set up the volume of a slice/cross-section as a cylinder whose volume can be calculated by the formula (area of cross-section)*(thickness). Thickness can be expressed as dx or dy depending on the orientation of the solid. The key step is to set up the area of the cross-section. All 1 question 3) Region R, that is bounded by the graph Y = 2 + vxx=1 and y=2, is revolved about the line y=1 to form a solid ofrevolution. Answer the following questions:a) Sketch the region Rb) What is the shape of the cross-section?c) Determine the direction/orientation of the cross-sections and then determine whether we are using dx or dyfor the thickness.d) What is the general formula for the area of the cross-section?e) What is the expression of the area of the cross-sectionin terms of x and/or y?f) Set up the integral to calculate the volume of the solid.(Do not need to evaluate the integral)

NOTE:- AS PER BARTLEBY GUIDELINES WE ARE ANSWERING FIRST THREE PARTS FOR YOU. Given that, Region R,…

For this section, the main idea is to set up the volume of a slice/cross-section as a cylinder whose volume can be calculated by the formula (area of cross-section)*(thickness). Thickness can be expressed as dx or dy depending on the orientation of the solid. The key step is to set up the area of the cross-section. All 1 quest

For this section, the main idea is to set up the volume of a slice/cross-section as a cylinder whose volume can be calculated by the formula (area of cross-section)*(thickness). Thickness can be expressed as dx or dy depending on the orientation of the solid. The key step is to set up the area of the cross-section. All 1 quest

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

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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