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(c) Consider a finite cone with its tip at the origin facing towards the decreasing z direction and its base at z=h where it has a radius of a. If a sphere of radius 2a is dropped into the cone from above (resembling a scoop of ice cream in a cone) setup a triple integral in cylindrical coordinates for the volume of the sphere inside the cone. You are not required to solve this integral.

(c) Consider a finite cone with its tip at the origin facing towards the decreasing z direction and its base at z=h where it has a radius of a. If a sphere of radius 2a is dropped into the cone from above (resembling a scoop of ice cream in a cone) setup a triple integral in cylindrical coordinates for the volume of the sphere inside the cone. You are not required to solve this integral.

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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C)
surface of the paraboloid z = 2² + y² using cylindrical coordinates. (c) Consider a finite cone with its tip at the origin facing towards the decreasing z direction and its base at z = h where it has a radius of a. If a sphere of radius 2a is dropped into the cone from above (resembling a scoop of ice cream in a cone) setup a triple integral in cylindrical coordinates for the volume of the sphere inside the cone. You are not required to solve this integral.
Transcribed Image Text:surface of the paraboloid z = 2² + y² using cylindrical coordinates. (c) Consider a finite cone with its tip at the origin facing towards the decreasing z direction and its base at z = h where it has a radius of a. If a sphere of radius 2a is dropped into the cone from above (resembling a scoop of ice cream in a cone) setup a triple integral in cylindrical coordinates for the volume of the sphere inside the cone. You are not required to solve this integral.
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