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(2) What is the formula for the volume of a cylinder? Draw an illustration. (3) What is the formula for the volume of a cylindrical shell? Draw an illustration. Write in the form of V= (circumference) x (height) xAr. (4) Theorem: The volume of the solid obtained by rotating about the y-axis the region under the curve y = f(x) from x = a to x = b is

(2) What is the formula for the volume of a cylinder? Draw an illustration. (3) What is the formula for the volume of a cylindrical shell? Draw an illustration. Write in the form of V= (circumference) x (height) xAr. (4) Theorem: The volume of the solid obtained by rotating about the y-axis the region under the curve y = f(x) from x = a to x = b is

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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SHELLS (1) Sometimes the methods of the previous section may not be feasible. So, we use the method of cylindrical shells. (2) What is the formula for the volume of a cylinder? Draw an illustration. (3) What is the formula for the volume of a cylindrical shell? Draw an illustration. Write in the form of V = (circumference) × (height) xAr. (4) Theorem: The volume of the solid obtained by rotating about the y-axis the region under the curve y = f(x) from x = a to x = b is V = Draw an illustration.
Transcribed Image Text:SHELLS (1) Sometimes the methods of the previous section may not be feasible. So, we use the method of cylindrical shells. (2) What is the formula for the volume of a cylinder? Draw an illustration. (3) What is the formula for the volume of a cylindrical shell? Draw an illustration. Write in the form of V = (circumference) × (height) xAr. (4) Theorem: The volume of the solid obtained by rotating about the y-axis the region under the curve y = f(x) from x = a to x = b is V = Draw an illustration.
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