Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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A tank in the shape of a sphere of radius 9 ft is full of water. Find a single
Expert Solution
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Step 1
The radius of the sphere is 9ft.
The weight of water is 62.5 lb/ft3.
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Step 2
Consider a circular layer of the sphere tank.
The radius if the circular layer is calculated as,
r=√92-y2
The volume of the circular layer is,
Vcircular layer=πr2dy=π(√81-y2)2dy=π(81-y2)dy
The weight of the layer is,
wlayer=62.5×π(81-y2)dy
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