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Suppose you have a conical tank of height 4m and radius 1m filled with a liquid of density p (shown below). R = 1 H = 4 (a) Calculate the work required to pump all of the liquid to the top of the tank. (Your answer will be in terms of p.) (b) Now suppose your tank is inverted. H = 4 R = 1 Calculate the work required to pump all of the liquid to the top of the tank (now the vertex of the cone) in this case. (c) Use your answers to (a) and (b) to determine if the amount of work required to pump the water to the top of the tank depends on the orientation of the tank (i.e. whether or

Suppose you have a conical tank of height 4m and radius 1m filled with a liquid of density p (shown below). R = 1 H = 4 (a) Calculate the work required to pump all of the liquid to the top of the tank. (Your answer will be in terms of p.) (b) Now suppose your tank is inverted. H = 4 R = 1 Calculate the work required to pump all of the liquid to the top of the tank (now the vertex of the cone) in this case. (c) Use your answers to (a) and (b) to determine if the amount of work required to pump the water to the top of the tank depends on the orientation of the tank (i.e. whether or

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Suppose you have a conical tank of height 4m and radius 1m filled with a liquid of density p (shown below). R= 1 H = 4 (a) Calculate the work required to pump all of the liquid to the top of the tank. (Your answer will be in terms of p.) (b) Now suppose your tank is inverted. H = 4 R = 1 Calculate the work required to pump all of the liquid to the top of the tank (now the vertex of the cone) in this case. (c) Use your answers to (a) and (b) to determine if the amount of work required to pump the water to the top of the tank depends on the orientation of the tank (i.e. whether or not the tank is inverted). If it doesn't, briefly explain why it makes sense that the work is the same. If it does, briefly explain why it makes sense that work is different.
Transcribed Image Text:Suppose you have a conical tank of height 4m and radius 1m filled with a liquid of density p (shown below). R= 1 H = 4 (a) Calculate the work required to pump all of the liquid to the top of the tank. (Your answer will be in terms of p.) (b) Now suppose your tank is inverted. H = 4 R = 1 Calculate the work required to pump all of the liquid to the top of the tank (now the vertex of the cone) in this case. (c) Use your answers to (a) and (b) to determine if the amount of work required to pump the water to the top of the tank depends on the orientation of the tank (i.e. whether or not the tank is inverted). If it doesn't, briefly explain why it makes sense that the work is the same. If it does, briefly explain why it makes sense that work is different.
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