The Theorems of PappusAs found in Exercise 39, the

Chapter 6, Problem 40E

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QUESTION:

Problem   40E

The Theorems of Pappus

As found in Exercise 39, the centroid of the semicircle lies at the point Find the area of the surface swept out by revolving the semicircle about the line

Reference: Exercise 39

Use Pappus’s Theorem for surface area and the fact that the surface area of a sphere of radius a is  to find the centroid of the

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QUESTION:

Problem   40E

The Theorems of Pappus

As found in Exercise 39, the centroid of the semicircle lies at the point Find the area of the surface swept out by revolving the semicircle about the line

Reference: Exercise 39

Use Pappus’s Theorem for surface area and the fact that the surface area of a sphere of radius a is  to find the centroid of the

ANSWER:

Solution:

Step 1 of 2:

In this problem, we need to find the area of the surface swept out by revolving the semicircle about the line.

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