A conical container, oriented such that its vertex is at the bottom, has radius 9 ft and height 36 ft. It is filled to a height of 34 ft of a liquid weighing 60.6 lb/ft³. 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 2 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= Sody

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A conical container, oriented such that its vertex is at the bottom, has radius 9 ft and height 36 ft. It is filled to a height of 34 ft of a liquid weighing 60.6 lb/ft³.
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 2 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=
C
APOS
Transcribed Image Text:A conical container, oriented such that its vertex is at the bottom, has radius 9 ft and height 36 ft. It is filled to a height of 34 ft of a liquid weighing 60.6 lb/ft³. 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 2 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= C APOS
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