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 ** (y³-9y²+ 20y) dy B f(y-³-11y²+28y) dy S* (y³-7y²+12y) dy *f*(-y5+ 15y+-72y³ + 112y²) dy 0 D 9800 9800 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.)
9800€
*(x-³-9y² + 20y) dy
2
9800
xf² (y³-11y²+28y) dy
9800
*S*(y-³-7y²+12y) dy
2
9800x (-y5+ 15y4-72y³ + 112y2) dy
B
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.) 9800€ *(x-³-9y² + 20y) dy 2 9800 xf² (y³-11y²+28y) dy 9800 *S*(y-³-7y²+12y) dy 2 9800x (-y5+ 15y4-72y³ + 112y2) dy B
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