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 =(x-³-7y²+12y) dy (³-9y² + 20y) dy (-5+15y4-72y³ +112y²) dy (³-11y²+28y) dy 9800 9800 9800x

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Question 12
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
#*(x-³-7y² + 12y) dy
9800x (3-9y2+20y) dy
9800
xf² (-y² + 15y²-
B
9800x
(-y5+15y4-72y + 112y2) dy
(³-11y2+28y) dy
G
Transcribed Image Text:Question 12 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 #*(x-³-7y² + 12y) dy 9800x (3-9y2+20y) dy 9800 xf² (-y² + 15y²- B 9800x (-y5+15y4-72y + 112y2) dy (³-11y2+28y) dy G
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