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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.)

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.)

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.) 2 A S² 9800 (y3-11y2+28y) dy 0 B 9800л (-y5+15y4-72y³ + 112y2) dy S²₁ 0 4 9800л S² (y3-7y²+12y) dy 0 4 9800 (y3-9y² + 20y) dy D 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.) 2 A S² 9800 (y3-11y2+28y) dy 0 B 9800л (-y5+15y4-72y³ + 112y2) dy S²₁ 0 4 9800л S² (y3-7y²+12y) dy 0 4 9800 (y3-9y² + 20y) dy D 0
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