A tank has the shape of an inverted circular cone with height 7 m and base radius 3 m. It filled w water. Set up the integral form, don't evaluate it, for the work required to empty the tank by pumping all of the water to the top of a tank. (The density of water is 1000 kg/m³ and the acceleration due to gravity is 9.8 m/s²). O 7 0 ² ( 49 0 9800 So 9800 9800 9 49 9 49 -x(7 — x)² dx -(7 — x)² dx 7 7 9 49 -x(7- x)² dx 9 49 (7 — x)³ dx (7 − x)² dx

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A tank has the shape of an inverted circular cone with height 7 m and base radius 3 m. It filled w
water. Set up the integral form, don't evaluate it, for the work required to empty the tank by
pumping all of the water to the top of a tank. (The density of water is 1000 kg/m³ and the
acceleration due to gravity is 9.8 m/s²).
9800
7
S
9800
9800
49
9
-
49 * (7 — x)² dx
9 (7-2)²dx
49
(7 — x)² dx
7
9
[²3/10
S
49
-(7 — x)³ dx
7
9
√2/2
49
-(7 — x)² dx
Transcribed Image Text:A tank has the shape of an inverted circular cone with height 7 m and base radius 3 m. It filled w water. Set up the integral form, don't evaluate it, for the work required to empty the tank by pumping all of the water to the top of a tank. (The density of water is 1000 kg/m³ and the acceleration due to gravity is 9.8 m/s²). 9800 7 S 9800 9800 49 9 - 49 * (7 — x)² dx 9 (7-2)²dx 49 (7 — x)² dx 7 9 [²3/10 S 49 -(7 — x)³ dx 7 9 √2/2 49 -(7 — x)² dx
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