A hemisphere of x? + y? + z2 = a? is shown. A cylinder is placed such the axis of both hemisphere and cylinder are aligned. Find the surface area(highlighted with blue colour) of the portion of the sphere that lies above the xy-plane and within the cylinder x? + y2 = b2. Take a = 4 and b = 3.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.1: Locus Of Points
Problem 2E: Note: Exercises preceded by an asterisk are of a more challenging nature. In the figure, which of...
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A hemisphere of x? + y? + z2 = a? is shown.
A cylinder is placed such the axis of both
hemisphere and cylinder are aligned. Find the
surface area(highlighted with blue colour) of the
portion of the sphere that lies above the xy-plane
and within the cylinder x? + y2 = b2. Take a =
4 and b = 3.
Transcribed Image Text:A hemisphere of x? + y? + z2 = a? is shown. A cylinder is placed such the axis of both hemisphere and cylinder are aligned. Find the surface area(highlighted with blue colour) of the portion of the sphere that lies above the xy-plane and within the cylinder x? + y2 = b2. Take a = 4 and b = 3.
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