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 f(y-³-7y² +12y) dy 0 9800 S* (y²³-9y² + 20y) dy 0 -L²₁- (-y5+15y4-72y3 + 112y2) dy 0 -S² (y3-11y²+28y) dy 0 O 9800 9800л

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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.)
9800x *(y³-7y²+12y) dy
0
9800л
S* (x³ - 9y² + 20y) dy
0
9800€ (-y5+15y4-72y³ +112y²) dy
S²
0
9800л
(y³-11y²+28y) dy
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.) 9800x *(y³-7y²+12y) dy 0 9800л S* (x³ - 9y² + 20y) dy 0 9800€ (-y5+15y4-72y³ +112y²) dy S² 0 9800л (y³-11y²+28y) dy
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