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A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) S² (y³-11y² + 28y) dy 9800л 0 9800л (-y5+15y4-72y³ + 112y2) dy 0 98007 (y3-7y²+12y) dy 0 9800 *S* (v³-9y² + 20y) dy 0

A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) S² (y³-11y² + 28y) dy 9800л 0 9800л (-y5+15y4-72y³ + 112y2) dy 0 98007 (y3-7y²+12y) dy 0 9800 *S* (v³-9y² + 20y) dy 0

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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QUESTION 20 A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) O 9800л + S² (y³ - 11y² + 28y) dy 0 9800л S²(-y5+15y4-72y³ + 112y²) dy 0 = f*(y-³-7y² + 12y) dy 0 S* (y²³-9y² +2 -9y² + 20y) dy 0 O O 9800л 9800л
Transcribed Image Text:QUESTION 20 A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) O 9800л + S² (y³ - 11y² + 28y) dy 0 9800л S²(-y5+15y4-72y³ + 112y²) dy 0 = f*(y-³-7y² + 12y) dy 0 S* (y²³-9y² +2 -9y² + 20y) dy 0 O O 9800л 9800л
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