A maple syrup tank has the shape of a cylinder with height 6 meters and radius...
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A maple syrup tank has the shape of a cylinder with height 6 meters and radius 2 meters. The tank has a 1 meter spout at the top, and is filled to a depth of 4 meters. The tank will be drained by pumping the syrup out of the spout. The density of maple syrup is 1333 kg/m³. Acceleration due to gravity is 9.8 m/s² Let the axis be set up with h=0 at the bottom of the tank. i. Which of the following represents the volume of a representative slab of syrup? A. π(2)²Ah B. π(2)²(4) C. π(2)²(6) D. π(2)²(h) ii. Which of the following represents the work required to drain the tank by pumping the syrup out of the spout. *(1333)(9.8)(π(2)²(4))(7)dh A. B. (1333)(9.8) (T(2)²(4))(h)dh S²₁₂ c. S² (1 C. D. (1333)(9.8) (T(2)²)(7-h)dh 5°₁1 (1333)(9.8) (T(2)²(n))(6-h)dh A maple syrup tank has the shape of a cylinder with height 6 meters and radius 2 meters. The tank has a 1 meter spout at the top, and is filled to a depth of 4 meters. The tank will be drained by pumping the syrup out of the spout. The density of maple syrup is 1333 kg/m³. Acceleration due to gravity is 9.8 m/s² Let the axis be set up with h=0 at the bottom of the tank. i. Which of the following represents the volume of a representative slab of syrup? A. π(2)²Ah B. π(2)²(4) C. π(2)²(6) D. π(2)²(h) ii. Which of the following represents the work required to drain the tank by pumping the syrup out of the spout. *(1333)(9.8)(π(2)²(4))(7)dh A. B. (1333)(9.8) (T(2)²(4))(h)dh S²₁₂ c. S² (1 C. D. (1333)(9.8) (T(2)²)(7-h)dh 5°₁1 (1333)(9.8) (T(2)²(n))(6-h)dh
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