A conical container of radius 5 ft and height 20 ft is filled to a height of 16 ft of a liquid weighing 62.4 lb / ft. a. How much work will it take to pump the contents to the rim? b. How much work will it take to pump the liquid to a level of 4 ft above the cone's rim? a. Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump contents to the rim. w= Ody W = The amount of work required to pump the liquid to the rim of the tank is (Round to the nearest whole number as needed.) b. Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to a level of 4 ft above the cone's rin W = dy The amount of work required to pump the liquid to a level 4 ft above the rim of the tank is (Round to the nearest whole number as needed.)
A conical container of radius 5 ft and height 20 ft is filled to a height of 16 ft of a liquid weighing 62.4 lb / ft. a. How much work will it take to pump the contents to the rim? b. How much work will it take to pump the liquid to a level of 4 ft above the cone's rim? a. Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump contents to the rim. w= Ody W = The amount of work required to pump the liquid to the rim of the tank is (Round to the nearest whole number as needed.) b. Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to a level of 4 ft above the cone's rin W = dy The amount of work required to pump the liquid to a level 4 ft above the rim of the tank is (Round to the nearest whole number as needed.)
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 46P
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![A conical container of radius 5 ft and height 20 ft is filled to a height of 16 ft of a liquid weighing 62.4 lb / ft.
a. How much work will it take to pump the contents to the rim?
b. How much work will it take to pump the liquid to a level of 4 ft above the cone's rim?
a. Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump contents to the rim.
w= Ody
The amount of work required to pump the liquid to the rim of the tank is
(Round to the nearest whole number as needed.)
b. Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to a level of 4 ft above the cone's rim.
W =
|dy
The amount of work required to pump the liquid to a level 4 ft above the rim of the tank is
(Round to the nearest whole number as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f7775f3-edad-4f27-ba1b-f7886a7505bd%2Fe9633608-c88f-4ee0-a948-f0499686d149%2Foe0qrui_processed.png&w=3840&q=75)
Transcribed Image Text:A conical container of radius 5 ft and height 20 ft is filled to a height of 16 ft of a liquid weighing 62.4 lb / ft.
a. How much work will it take to pump the contents to the rim?
b. How much work will it take to pump the liquid to a level of 4 ft above the cone's rim?
a. Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump contents to the rim.
w= Ody
The amount of work required to pump the liquid to the rim of the tank is
(Round to the nearest whole number as needed.)
b. Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to a level of 4 ft above the cone's rim.
W =
|dy
The amount of work required to pump the liquid to a level 4 ft above the rim of the tank is
(Round to the nearest whole number as needed.)
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