A cylindrical barrel, standing upright on its circular end, contains muddy water. The top of the barrel, which has diameter of 4 meters, is open. The height of the barrel is 2.4 meters and it is filled to a depth of 0.3 meters. The density of the water h meters below the surface is given by 8(h) 1+ kh kg/m³, where k is a positive constant. Which of the following will give the total work needed to pump the muddy water to the top rim of the barrel? Use g = 9.8 m/s². 39.2m(1+kh) (2.4 h) dh 39.2m(1 kh)h dh 39.2m(1 kh)(h+ 2.1) dh 39.2(1 kh)(h+2.1) dh of th 156.8a(1+kh)(h+ 2.1) dh

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A cylindrical barrel, standing upright on its circular end, contains muddy water. The top of the barrel, which has diameter of 4 meters, is open. The height of the barrel is 2.4 meters and it is filled to a depth of 0.3 meters. The density of the water h meters below the surface is given by 8(h) - 1 + kh
kg/m³, where k is a positive constant.
Which of the following will give the total work needed to pump the muddy water to the top rim of the barrel? Use g = 9.8 m/s².
10.3
39.2m(1+kh)(2.4 h) dh
39.2m(1+kh)h dh
39.2(1 kh)(h+ 2.1) dh
39.21(1+kh)(h+ 2.1) dh
0 [²1:
156.8m(1+kh)(h+ 2.1) dh
X
Transcribed Image Text:A cylindrical barrel, standing upright on its circular end, contains muddy water. The top of the barrel, which has diameter of 4 meters, is open. The height of the barrel is 2.4 meters and it is filled to a depth of 0.3 meters. The density of the water h meters below the surface is given by 8(h) - 1 + kh kg/m³, where k is a positive constant. Which of the following will give the total work needed to pump the muddy water to the top rim of the barrel? Use g = 9.8 m/s². 10.3 39.2m(1+kh)(2.4 h) dh 39.2m(1+kh)h dh 39.2(1 kh)(h+ 2.1) dh 39.21(1+kh)(h+ 2.1) dh 0 [²1: 156.8m(1+kh)(h+ 2.1) dh X
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