2. A solid is in the first octant lies inside the hemisphere z = 4 - x² - y², outside the cone z = √√x² + y² and above the plane z = 0. If volume of the 4 solid is =T, find , which is the x-coordinate of the centroid of the solid. 3√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 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...
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2.
A solid is in the first octant lies inside the hemisphere z = √4x² - y²,
outside the cone z =
4
x²
+ y² and above the plane z = 0. If volume of the
which is the x-coordinate of the centroid of the solid.
solid is
=πT,
find ,
3√/2"
Transcribed Image Text:2. A solid is in the first octant lies inside the hemisphere z = √4x² - y², outside the cone z = 4 x² + y² and above the plane z = 0. If volume of the which is the x-coordinate of the centroid of the solid. solid is =πT, find , 3√/2"
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