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(12) The spherical cap of height h of a sphere of radius r is the solid obtained by rotating the area bounded above by the circle x² + y² = r², below by the line y = h, and to the left by the y-axis about the y-axis. Determine the surface area of a spherical cap of height h. los Oct $in @ = √√1-2/²2/1 ds=r² sin de Yah

(12) The spherical cap of height h of a sphere of radius r is the solid obtained by rotating the area bounded above by the circle x² + y² = r², below by the line y = h, and to the left by the y-axis about the y-axis. Determine the surface area of a spherical cap of height h. los Oct $in @ = √√1-2/²2/1 ds=r² sin de Yah

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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G x² = r (1-(ast) y'= usint SA-20 S (v cest (r-cost)² + (rsint)? (12) The spherical cap of height h of a sphere of radius r is the solid obtained by rotating the area bounded above by the circle x² + y² = r², below by the line y = h, and to the left by the y-axis about the y-axis. Determine the surface area of a spherical cap of height h. cos0=h J Yoh e Sin @ =√1-1/² 12 ds=r² sin de
Transcribed Image Text:G x² = r (1-(ast) y'= usint SA-20 S (v cest (r-cost)² + (rsint)? (12) The spherical cap of height h of a sphere of radius r is the solid obtained by rotating the area bounded above by the circle x² + y² = r², below by the line y = h, and to the left by the y-axis about the y-axis. Determine the surface area of a spherical cap of height h. cos0=h J Yoh e Sin @ =√1-1/² 12 ds=r² sin de
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