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.) 9800л *(1-³ - 11y² + 28y) dy 0 9800л 7 S* (v³-7y² +12y) dy 0 9800л -S²(-y³ + 15y-4-72-³ + 1122) dy 0 4 9800л S (y3-9y² + 20y) dy 0

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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.)
9800л
*(1-³ - 11y² + 28y) dy
0
9800л
7 S* (v³-7y² +12y) dy
0
9800л
-S²(-y³ + 15y-4-72-³ + 1122) dy
0
4
9800л
S
(y3-9y² + 20y) 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.) 9800л *(1-³ - 11y² + 28y) dy 0 9800л 7 S* (v³-7y² +12y) dy 0 9800л -S²(-y³ + 15y-4-72-³ + 1122) dy 0 4 9800л S (y3-9y² + 20y) dy 0
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