Concept explainers
a.
Find the volume enclosed by the cylinder and prove
a.
Answer to Problem 47E
The volume enclosed by the cylinder and proved
Explanation of Solution
Calculation:
Let
By the definition of volume by cylindrical shells, know that
Because the planes of the cross-sections are parallel.
To know that bounds of the integrals are equal (i.e.
Since
Thus, the volume enclosed by the given integral
b.
Find the volume enclosed by the given cylinder.
b.
Answer to Problem 47E
The volume enclosed by the given cylinder is
Explanation of Solution
Use Cavalier’s principle to say that the volume of the cylinder that‘s in the figure is the same as that of a right circular cylinder with radius
Thus, the volume enclosed by the given cylinder
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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