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 9800x (-5+15y4-72y³ +112²) dy 0 B 9800x *(x-³-9y² + 20y) dy 0 9800 *(x²-7y² +12y) dy 0 D9800m Or (y²-11y² + 28y) dy

Mathematics For Machine Technology
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Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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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
S²-1³ + 15y²-72y³ + 112y²2) dy
0
Ox*(x³ - 9y² + 20y) dy
DE LO
(y³-7y²+12y) dy
0
²(y³-11y² + 28y) dy
B
9800x
9800x
9800x
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 S²-1³ + 15y²-72y³ + 112y²2) dy 0 Ox*(x³ - 9y² + 20y) dy DE LO (y³-7y²+12y) dy 0 ²(y³-11y² + 28y) dy B 9800x 9800x 9800x
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