8. Show that the volume of a cone with height h and radius a equalsa²h using 3 h iterated integrals in cylindrical coordinates. (Hint: Use the inverted cone z = √x² + y².) 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.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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8.
Show that the volume of a cone with height h and radius a equalsa²h using
(x² + y².)
h
iterated integrals in cylindrical coordinates. (Hint: Use the inverted cone z =
a
8
Transcribed Image Text:1 8. Show that the volume of a cone with height h and radius a equalsa²h using (x² + y².) h iterated integrals in cylindrical coordinates. (Hint: Use the inverted cone z = a 8
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