ra²h using 8. [- Show that the volume of a cone with height h and radius a equals iterated integrals in cylindrical coordinates. (Hint: Use the inverted cone z = = √√√x² + y².) h a

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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8. [.. Show that the volume of a cone with height hand radius a equals ra²h using
iterated integrals in cylindrical coordinates. (Hint: Use the inverted cone z = = √√√x² + y².)
h
a
Transcribed Image Text:8. [.. Show that the volume of a cone with height hand radius a equals ra²h using iterated integrals in cylindrical coordinates. (Hint: Use the inverted cone z = = √√√x² + y².) h a
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