Concept explainers
a.
To find: The find the volume of given solid.
a.
Answer to Problem 39E
The area is
Explanation of Solution
Given information : The base of the solid curve
The cross section perpendicular to the X-axis are Equilateral triangles with bases running from the X-axis to the curve as shown in the figure.
Formula used : The volume of a solid of known integrable cross-section area
The area of a equilateral triangle of side “
Calculation :
The cross-section perpendicular to X-axis is equilateral triangle.
So, area
And volume of the solid is,
b.
To find: The find the volume of given solid.
b.
Answer to Problem 39E
The volume of the solid is
Explanation of Solution
Given information : The base of the solid curve
The cross section perpendicular to the X-axis are Equilateral triangles with bases running from the X-axis to the curve as shown in the figure.
The cross-section perpendicular to the X-axis are squares with bases running from the X-axis to the curve.
Formula used : The volume of a solid of known integrable cross-section area
The area of a equilateral triangle of side “
The area of the Square of side “
The cross section perpendicular to X-axis is a square.
So, the area
Volume of the solid is,
The volume of the solid is
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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