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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.) 9800 S* (y³-7y² +12y) dy 0 ·2 9800л (y³ - 11y²+28y) dy 0 4 9800л *S*(y²³-9y² + 20y) dy 0 2 9800 af²1- (-y5+ 15y4-72y3 + 112y2) 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.) 9800 S* (y³-7y² +12y) dy 0 ·2 9800л (y³ - 11y²+28y) dy 0 4 9800л *S*(y²³-9y² + 20y) dy 0 2 9800 af²1- (-y5+ 15y4-72y3 + 112y2) 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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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.) 9800 S* (y³-7y² +12y) dy 0 ·2 9800л (y³ - 11y²+28y) dy 0 4 9800л *S*(y²³-9y² + 20y) dy 0 2 9800 af²1- (-y5+ 15y4-72y3 + 112y2) dy 0
Transcribed Image Text: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.) 9800 S* (y³-7y² +12y) dy 0 ·2 9800л (y³ - 11y²+28y) dy 0 4 9800л *S*(y²³-9y² + 20y) dy 0 2 9800 af²1- (-y5+ 15y4-72y3 + 112y2) dy 0
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