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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 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

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

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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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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