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.)

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Chapter1: Units, Trigonometry. And Vectors
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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.)
A 9800 7*(y-³-9y² + 20y) dy
B
9800л
S²(y³-11y²+28y) dy
0
9800
S²(-y³+15y4-72y³ +112y²) dy
4
(D 9800m (y³-7y²+12y) 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.) A 9800 7*(y-³-9y² + 20y) dy B 9800л S²(y³-11y²+28y) dy 0 9800 S²(-y³+15y4-72y³ +112y²) dy 4 (D 9800m (y³-7y²+12y) dy
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