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The Theorems of PappusAs found in Exercise 39, the
Chapter 6, Problem 40E(choose chapter or problem)
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
Questions & Answers
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.