Chapter 5.4, Problem 24E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

A tank is full of water. Find the work required to pump the water out of the spout. In Exercises 25 and 26 use the fact that water weighs

To determine

**To find:**

The work required to pump the water out of the spout.

Explanation

**1) Concept:**

The work is calculated by using the formula

Area of circular disk is

**2) Given:**

**3) Calculation:**

From the given figure observe that the given tank is spherical in shape.

The radius of the tank below the center is

Consider circular disk slice of water having thickness

Volume of the disk of waterÂ

Therefore, the weight of the slice is

This weight is lifted by the pump to about

Therefore, the work needed to pump the slice water out of the spout is

Therefore, the total work reqiured is

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