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15. (a) Find the volume of the solid between the sphere p= cos() and the hemisphere p= 2, z 2 0. (b) Find the volume of the solid bounded below by the sphere p = 2cos() and above by the V + y". (c) Find the volume of the region that lies inside the sphere r2+ y? + z2 = 2 and outside the cylinder r2 + y? = 1. cone z =

15. (a) Find the volume of the solid between the sphere p= cos() and the hemisphere p= 2, z 2 0. (b) Find the volume of the solid bounded below by the sphere p = 2cos() and above by the V + y". (c) Find the volume of the region that lies inside the sphere r2+ y? + z2 = 2 and outside the cylinder r2 + y? = 1. cone z =

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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15. (a) Find the volume of the solid between the sphere p= cos() and the hemisphere p = 2, z 2 0. (b) Find the volume of the solid bounded below by the sphere p = 2cos(4) and above by the V + y?. (c) Find the volume of the region that lies inside the sphere r+ y? + z2 = 2 and outside the cylinder r? + y? = 1. (d) Find the volume of the smaller region cut from the solid sphere p< 2 by the plane z = 1. cone z =
Transcribed Image Text:15. (a) Find the volume of the solid between the sphere p= cos() and the hemisphere p = 2, z 2 0. (b) Find the volume of the solid bounded below by the sphere p = 2cos(4) and above by the V + y?. (c) Find the volume of the region that lies inside the sphere r+ y? + z2 = 2 and outside the cylinder r? + y? = 1. (d) Find the volume of the smaller region cut from the solid sphere p< 2 by the plane z = 1. cone z =
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