Concept explainers
To Find : The volume of the given solid.
Answer to Problem 42E
The required volume is
Explanation of Solution
Given information : The base of the solid disk
The cross-section by planes perpendicular to Y-axis between
Formula used : The volume of a solid of known integrable cross-section area
The area of a isosceles right triangle of equal sides “
Calculation :
The cross-section by plane perpendicular to the Y-axis are isosceles right triangle.
The length of the leg on the disc is
So the area of that isosceles right triangle is
Now,
So the volume of the solid is,
Therefore, the required volume is
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
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