Calculate the surface area of the following: (a) the cap cut from the sphere x² + y? + z2 = 3 by the cone z = x²+ y². (b) the portion of the parabola y = x², from x = 0 to x = 2 is rotated about the x-axis.
Calculate the surface area of the following: (a) the cap cut from the sphere x² + y? + z2 = 3 by the cone z = x²+ y². (b) the portion of the parabola y = x², from x = 0 to x = 2 is rotated about the x-axis.
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 39E: Find the exact volume of the solid that results when the rectangular region with vertices at 0, 0,...
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