An inverted conical tank with 14 m height and 7 m radius at the top is full of water. Calculate the work (in Joules) is needed to pump all of the water out if the water exits through a spout that is 4 meters from the top of the tank. The density of water is 1000kg/m³, the gravity force is 9.8m/s². (Give the exact answer in the simplest form) Show all your work.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Please answer the Attached Calculus question correctly and show all your work completely without skipping any steps. Please handwrite your work and give the answer in its simplest form. Thank you.

 
An inverted conical tank with 14 m height and 7 m radius at the top is full of water.
Calculate the work (in Joules) is needed to pump all of the water out if the water exits through a
spout that is 4 meters from the top of the tank. The density of water is 1000kg/m³, the gravity
force is 9.8m/s². (Give the exact answer in the simplest form) Show all your work.
Transcribed Image Text:An inverted conical tank with 14 m height and 7 m radius at the top is full of water. Calculate the work (in Joules) is needed to pump all of the water out if the water exits through a spout that is 4 meters from the top of the tank. The density of water is 1000kg/m³, the gravity force is 9.8m/s². (Give the exact answer in the simplest form) Show all your work.
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