Answered: Find the volumes of the solids…

Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and (5,7) about (a) the x-axis (b) the y-axis, (c) the line x = 9, and (d) the line y = 2.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...

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Question

Revolve the triangle with vertices around the x and y axis.

Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and (5,7) about (a) the x-axis,
(b) the y-axis, (c) the line x = 9, and (d) the line y = 2.
a. The volume of the solid generated by revolving about the x-axis is
(Type an exact answer, using as needed, or round to the nearest tenth.)
cubic units.

Expert Solution

Step 1 To find:

The volumes of the solids generated by revolving the triangle with vertices $(2, 2), (2, 7), and (5, 7)$ about the x and y-axis.

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