9. The region shown on the right is revolved around the y-axis. a) Setup an integral to find the volume of the solid formed. Draw a picture to support the setup of your integral. b) Evaluate the integral you found in part (a). y = sin²x 0 TT/2 TT

9. The region shown on the right is revolved around the y-axis. a) Setup an integral to find the volume of the solid formed. Draw a picture to support the setup of your integral. b) Evaluate the integral you found in part (a). y = sin²x 0 TT/2 TT

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

9. The region shown on the right is revolved around the y-axis.
a) Setup an integral to find the volume of the solid formed. Draw a picture to
support the setup of your integral.
b) Evaluate the integral you found in part (a).
y = sin²x
0
TT/2
TT

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