a.
To show: The volume of a sphere generated by a region enclosed by a semicircle
a.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
A region enclosed by a semicircle
Calculation:
The radius of each tiny disk will be
So, the volume of the sphere will be
Evaluate the integral.
Conclusion:
The volume of the sphere is
b.
To find: The volume of a right circular cone of height
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 82E
Explanation of Solution
Given information:
The right circular cone of height
Calculation:
Draw a right circular cone of height
A tiny disk of radius
The relation between
Then, the area of the tiny disk is
So, the volume of the cone is
Evaluate the integral.
Conclusion:
The volume of the right circular cone is
Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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