Work - Conical Tank JSFH

JSFH A conical tank (base radius 3 m, height 5 m) with its vertex downward is filled to a height of 4 m with an oil whose density is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEja2dGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiL0YnRjIvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjE2NjY2NjdlbUYnLyUncnNwYWNlR0ZKLUklbXN1cEdGJDYlLUYsNiVRIm1GJ0YvRjItRiM2JC1JI21uR0YkNiRRIjNGJ0YyRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjI=. How much work is done pumping the oil through an outlet pipe that sits 2 m above the top of the tank? JSFH

JSFH Establish a coordinate system whose origin is at the vertex of the cone, and in which LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= is positive upwards. See Figure 1. -%'CANVASG6'-%)BOUNDS_XG6#,$-%&FloatG6#%)infinityG!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"%?_F--%.BOUNDS_HEIGHTG6#$"%+OF--%)CHILDRENG6;-%%LINEG6'-%(OUTLINEG6#-%&COLORG6&%$RGBG$""!F-FGFG-%/LINE_THICKNESSG6#$"#5F--%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$FGFG-%'ORIGING6#-%&POINTG6$$"%&p#F-$"%:=F--%&SCALEG6#-FU6$FLFL-%)ROTATIONG6#FG-%*LINESTYLEG6#FH-%%DATAG6$7$$"%+FF-$"$?'F-7$$"%!p#F-$"%5IF--F>6'F@FI-FO6&FQ-FX6#-Fen6$$"%5FF-FinF[oF`oFco-Fgo6&7$$"%+:F-$"$!eF-7$$"%?RF-$"$q&F-7$F_p$"%SIF-%'CLOSEDG-F>6'F@FI-FO6&FQ-FX6#-Fen6$$"1pzT`APzE!#8$"2i!*G'>E7\7!#9F[oF`oFco-Fgo6$7$$")Zu)z"!"&$")_Ce7F`s7$$"%gNF-$"%S7F--%/TEXT_CONTAINERG6(FI-FO6&FQ-FX6#-Fen6$$"%q>F-$"$D%F-F[oF`o-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTGFgt-Fgo6%7$$"%?=F-$"$S$F-7$$"$+$F-$"$q"F-F\r-%*PARAGRAPHG6#Qg[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6"-Fis6(FI-FO6&FQ-FX6#-Fen6$$"%qDF-$"%D>F-F[oF`oFetFit-Fgo6%7$$"%]CF-F^u7$$"$S#F-$"$5#F-F\r-Fhu6#Q[_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[v-F>6)F@-%/LINE_START_PING6#-%+MODEL_PATHG6#"""-%/LINE_END_ARROWG6#Q-filled-arrowF[v-FJ6#$F]xF--FO6&FQ-FX6#-Fen6$$".D"y]&*3F!#5$"1yv,of$[_%FjrF[oF`oFco-Fgo6$7$$")-"zq#F`s$"(s'\hF`s7$F[q$"$!HF--Fis6(FI-FO6&FQ-FX6#-Fen6$$"%&z#F-$"%ICF-F[oF`oFetFit-Fgo6%7$Fjo$"%5BF-7$$"$!>F-F^wF\r-Fhu6#Q[_tCjxUZXh0LWZpZWxkIHN1cGVyc2NyaXB0PSJmYWxzZSIgcGxhY2Vob2xkZXI9ImZhbHNlIiBleGVjdXRhYmxlPSJmYWxzZSIgc2VsZWN0aW9uLXBsYWNlaG9sZGVyPSJmYWxzZSIgaXRhbGljPSJmYWxzZSIgc2l6ZT0iMTIiIGJvbGQ9ImZhbHNlIiBzdWJzY3JpcHQ9ImZhbHNlIiBmYW1pbHk9IlRpbWVzIE5ldyBSb21hbiIgb3BhcXVlPSJmYWxzZSIgdW5kZXJsaW5lPSJmYWxzZSIgYmFja2dyb3VuZD0iWzI1NSwyNTUsMjU1XSIgcmVhZG9ubHk9ImZhbHNlIiBmb3JlZ3JvdW5kPSJbMCwwLDBdIiBhbGlnbm1lbnQ9ImxlZnQiIGZpcnN0aW5kZW50PSIwIiBzcGFjZWJlbG93PSIwIiBsZWZ0bWFyZ2luPSIwIiBsaW5lc3BhY2luZz0iMC4wIiBpbml0aWFsPSIwIiBsaW5lYnJlYWs9InNwYWNlIiByaWdodG1hcmdpbj0iMCIgYnVsbGV0c3VmZml4PSIiIHNwYWNlYWJvdmU9IjAiIGJ1bGxldD0ibm9uZSIgcGFnZWJyZWFrLWJlZm9yZT0iZmFsc2UiPjxFcXVhdGlvbiBleGVjdXRhYmxlPSJmYWxzZSIgaW5wdXQtZXF1YXRpb249IiIgZGlzcGxheT0iTFVrbGJYSnZkMGMySXk5SksyMXZaSFZzWlc1aGJXVkhOaUpKTEZSNWNHVnpaWFIwYVc1blIwa29YM041YzJ4cFlrZEdKelkxTFVramJXbEhSaVEyTlZFaWVVWW5MeVVuWm1GdGFXeDVSMUV3VkdsdFpYTitUbVYzZmxKdmJXRnVSaWN2SlNWemFYcGxSMUVqTVRKR0p5OGxKV0p2YkdSSFVTWm1ZV3h6WlVZbkx5VW5hWFJoYkdsalIxRWxkSEoxWlVZbkx5VXFkVzVrWlhKc2FXNWxSMFkzTHlVcWMzVmljMk55YVhCMFIwWTNMeVVzYzNWd1pYSnpZM0pwY0hSSFJqY3ZKU3RtYjNKbFozSnZkVzVrUjFFb1d6QXNNQ3d3WFVZbkx5VXJZbUZqYTJkeWIzVnVaRWRSTGxzeU5UVXNNalUxTERJMU5WMUdKeThsSjI5d1lYRjFaVWRHTnk4bEsyVjRaV04xZEdGaWJHVkhSamN2SlNseVpXRmtiMjVzZVVkR055OGxLV052YlhCdmMyVmtSMFkzTHlVcVkyOXVkbVZ5ZEdWa1IwWTNMeVVyYVcxelpXeGxZM1JsWkVkR055OGxMSEJzWVdObGFHOXNaR1Z5UjBZM0x5VTJjMlZzWldOMGFXOXVMWEJzWVdObGFHOXNaR1Z5UjBZM0x5VXNiV0YwYUhaaGNtbGhiblJIVVNkcGRHRnNhV05HSjBZdlJqSkdOUzlHT1VZM1JqdEdQVVkvUmtGR1JFWkhSa2xHUzBaTlJrOUdVVVpUUmxVdlJsaFJKMjV2Y20xaGJFWW4iPkxVa2xiWEp2ZDBjMkl5OUpLMjF2WkhWc1pXNWhiV1ZITmlKSkxGUjVjR1Z6WlhSMGFXNW5SMGtvWDNONWMyeHBZa2RHSnpZMUxVa2piV2xIUmlRMk5WRWllVVluTHlVblptRnRhV3g1UjFFd1ZHbHRaWE4rVG1WM2ZsSnZiV0Z1UmljdkpTVnphWHBsUjFFak1USkdKeThsSldKdmJHUkhVU1ptWVd4elpVWW5MeVVuYVhSaGJHbGpSMUVsZEhKMVpVWW5MeVVxZFc1a1pYSnNhVzVsUjBZM0x5VXFjM1ZpYzJOeWFYQjBSMFkzTHlVc2MzVndaWEp6WTNKcGNIUkhSamN2SlN0bWIzSmxaM0p2ZFc1a1IxRW9XekFzTUN3d1hVWW5MeVVyWW1GamEyZHliM1Z1WkVkUkxsc3lOVFVzTWpVMUxESTFOVjFHSnk4bEoyOXdZWEYxWlVkR055OGxLMlY0WldOMWRHRmliR1ZIUmpjdkpTbHlaV0ZrYjI1c2VVZEdOeThsS1dOdmJYQnZjMlZrUjBZM0x5VXFZMjl1ZG1WeWRHVmtSMFkzTHlVcmFXMXpaV3hsWTNSbFpFZEdOeThsTEhCc1lXTmxhRzlzWkdWeVIwWTNMeVUyYzJWc1pXTjBhVzl1TFhCc1lXTmxhRzlzWkdWeVIwWTNMeVVzYldGMGFIWmhjbWxoYm5SSFVTZHBkR0ZzYVdOR0owWXZSakpHTlM5R09VWTNSanRHUFVZL1JrRkdSRVpIUmtsR1MwWk5SazlHVVVaVFJsVXZSbGhSSjI1dmNtMWhiRVluPC9FcXVhdGlvbj48L1RleHQtZmllbGQ+F[v-F>6(F@-%1LINE_START_ARROWGF`x-FJ6#$"$X"!"#-FO6&FQ-FX6#-Fen6$$"%&>%F-$"%57F-F[oF`oFco-Fgo6$7$$"%+UF-$"$5'F-7$$"%!>%F-$"%5=F--Fis6(FI-FO6&FQ-FX6#-FenFVF[oF`oFetFit-Fgo6%7$$"%5TF-$"%I>F-7$Fcu$"$S"F-F\r-Fhu6#Qc[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F[v-F>6(F@Fc[lFe[l-FO6&FQ-FX6#-Fen6$F`\l$"%0EF-F[oF`oFco-Fgo6$7$F\]lFap7$Fg\l$"%+AF--Fis6(FI-FO6&FQ-FX6#-Fen6$Fbz$"%0KF-F[oF`oFetFit-Fgo6%7$$"%?EF-$"%!3$F-7$$"$]$F-$"$]#F-F\r-Fhu6#Qc[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F[v-Fis6(FI-FO6&FQ-FX6#-Fen6$$"%:<F-$"%+8F-F[oF`oFetFit-Fgo6%7$$"%S:F-$"%q6F-7$Ff`l$"$g#F-F\r-Fhu6#Qc[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F[v-Fis6(FI-FO6&FQ-FX6#-Fen6$$"%?GF-$"%D6F-F[oF`oFetFit-Fgo6%7$F_p$"%I5F-7$FablF\[lF\r-Fhu6#Qc[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F[v-Fis6(FI-FO6&FQ-FX6#-Fen6$$"%?9F-$"$0'F-F[oF`oFetFit-Fgo6%7$$"%g7F-$"$5&F-7$$"$?$F-F\[lF\r-Fhu6#Qc[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F[v-Fis6(FI-FO6&FQ-FX6#-Fen6$$"%bGF-$"$!pF-F[oF`oFetFit-Fgo6%7$$"%?FF-$"$+'F-7$$"$q#F-$"$!=F-F\r-Fhu6#Qc[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F[v-F>6'F@-FJ6#$"%&z"Fi[l-FO6&FQ-FX6#-Fen6$F[q$"%q?F-F[oF`oFco-Fgo6$7$$"%?AF-$"%!3#F-7$$"%+KF-$"%g?F--Fis6(FI-FO6&FQ-FX6#-Fen6$$"%0MF-$"%l?F-F[oF`oFetFit-Fgo6%7$$"%qKF-$"%]>F-7$Fhfl$"$I#F-F\r-Fhu6#Qg_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F[v-F>6(F@Fc[l-FJ6#$"),++@!"(-FO6&FQ-FX6#-Fen6$$"$0*F-$"%]GF-F[oF`oFco-Fgo6$7$$"$+*F-$"%+IF-7$$"$5*F-Fjo-F>6(F@F^xFdjl-FO6&FQ-FX6#-Fen6$$"$:*F-$"%NAF-F[oF`oFco-Fgo6$7$F[\m$"%+CF-7$F[\mF[hl-Fis6(FI-FO6&FQ-FX6#-Fen6$$"$v*F-$"%bDF-F[oF`oFetFit-Fgo6%7$$"$])F-$"%SCF-7$Fh`lF]jlF\rF^[l-F>6(F@F^xFdjl-FO6&FQ-FX6#-Fen6$Fe\m$"%!p"F-F[oF`oFco-Fgo6$7$F[\m$"%]8F-7$F[\m$"%I?F-Fa[lFa[l-F>6(F@Fc[l-FJ6#$"#AF--FO6&FQ-FX6#-Fen6$F_[m$"$&[F-F[oF`oFco-Fgo6$7$Ff[m$"$+"F-7$Ff[m$"$q)F--Fis6(FI-FO6&FQ-FX6#-Fen6$Fe\m$"%X6F-F[oF`oFetFit-Fgo6%7$$"$!oF-$"%?5F-7$$"$q%F-Fh`lF\r-Fhu6#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F[v Figure 1 Conical tank with coordinate system measuring LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= positive upwards. Student[Calculus1][VolumeOfRevolutionTutor](); From similar triangles OAB and OCD, obtain 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 \342\207\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 A "disk" of oil has volume 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 The mass of this disk is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GLDYlUScmIzkxNjtGJ0YvRjJGNS1GLDYlUSJWRicvRjBRJXRydWVGJy9GM1EnaXRhbGljRidGMg== The weight (force due to gravity) of the disk is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GLDYlUScmIzkxNjtGJ0YvRjJGNS1GLDYlUSJWRicvRjBRJXRydWVGJy9GM1EnaXRhbGljRidGNS1GLDYlUSJnRidGUkZURjI=, where LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= is the gravitational constant (9.8 in these units). This representative disk must be lifted through a distance LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEiN0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKCZtaW51cztGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8= Disks of oil exist throughout the interval LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JFEiMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RJiZsZXE7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YyLUYsNiRRIjRGJ0YvRi8= Using the Expression palette, write and evaluate 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

L0kiV0c2IiwkKiojIiQjPiIjRCIiIkkkcmhvR0YkRipJImdHRiRGKkkjUGlHJSpwcm90ZWN0ZWRHRipGKg==

(units = joules) JSFH JSFH JSFH JSFH

JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= JSFH