Explanation Given information: Radius of cylinder is ‘r’ and height is‘h’ and radius is half of the height. Concept and Formula Used: Volume of cylinder is V = π r 2 h and surface area is S = 2 π r ( r + h ) Calculation: Volume of cylinder is V = π r 2 h If Radius of cylinder is half that of height i.e. r = 1 2 h Volume of cylinder is V = π ( 1 2 h ) 2 h V = 1 4 π ( h 2 ) h V = 1 4 π h 3 Surface area of cylinder is S = 2 π r ( r + h ) If radius of cylinder is half that of height i

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Chapter 3.5, Problem 5C

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To find: The formulas for the volume and surface area of cylinder.

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Chapter 3.5, Problem 4C

Chapter 3.5, Problem 6C

Chapter 3 Solutions

Calculus

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The formulas for the volume and surface area of cylinder.

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