A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft below ground. The radius of the cone at ground level is 4 ft. It is filled with water weighing 62.4 lb/cu.ft. and is to be emptied by pumping the water to a spigot 3 ft above ground level. Find the total amount of work performed in emptying the tank? 3456 ft-lbs 23961.6 ft-lbs 1296 ft-lbs 8985.6 ft-lbs

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CT: Test
Problem 15CT
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A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft below ground. The radius of the
cone at ground level is 4 ft. It is filled with water weighing 62.4 lb/cu.ft. and is to be emptied by pumping the water to a spigot 3 ft
above ground level. Find the total amount of work performed in emptying the tank?
3456 ft-lbs
23961.6 ft-lbs
1296 ft-lbs
8985.6 ft-lbs
Transcribed Image Text:A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft below ground. The radius of the cone at ground level is 4 ft. It is filled with water weighing 62.4 lb/cu.ft. and is to be emptied by pumping the water to a spigot 3 ft above ground level. Find the total amount of work performed in emptying the tank? 3456 ft-lbs 23961.6 ft-lbs 1296 ft-lbs 8985.6 ft-lbs
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