2. In the topic of mensuration for secondary syllabus, we teach pupils that the volume V of a right cylinder is given by VRH where R is the radius of its circular base and H, its height. A cylinder x² + y² = R² with height H is drawn for you H- x² + y² = R² om the diagram above, use triple integral in cylindrical coordinates to show that deed the volume of a cylinder is indeed V = R³H

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.CT: Test
Problem 8CT: Determine whether the statement is true or false. a A right circular cone has exactly two bases. b...
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2. In the topic of mensuration for secondary syllabus, we teach pupils that the
volume V of a right cylinder is given by V=R²H where R is the radius of its
circular base and H, its height. A cylinder x² + y² = R² with height H is drawn
for you
H
+y² = R²
From the diagram above, use triple integral in cylindrical coordinates to show that
indeed the volume of a cylinder is indeed V = R³H
Transcribed Image Text:2. In the topic of mensuration for secondary syllabus, we teach pupils that the volume V of a right cylinder is given by V=R²H where R is the radius of its circular base and H, its height. A cylinder x² + y² = R² with height H is drawn for you H +y² = R² From the diagram above, use triple integral in cylindrical coordinates to show that indeed the volume of a cylinder is indeed V = R³H
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