2. A solid is in the first octant lies inside the hemisphere z = /4 - r - y, outside the cone z = Vr? + y? and above the plane z = 0. If volume of the %3D 4 n, find ī, which is the r-coordinate of the centroid of the solid. solid is 3V2

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 = /4 - a? - y,
outside the cone z Vr2 + y? and above the plane z = 0. If volume of the
4
solid is
3/2
find a, which is the r-coordinate of the centroid of the solid.
Transcribed Image Text:2. A solid is in the first octant lies inside the hemisphere z = /4 - a? - y, outside the cone z Vr2 + y? and above the plane z = 0. If volume of the 4 solid is 3/2 find a, which is the r-coordinate of the centroid of the solid.
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