Concept explainers
a.
To find: The formula for the area
a.
Answer to Problem 1E
The formula for the cross-section area is
Explanation of Solution
Given information :
The solid lies between planes perpendicular to the X-axis at
The cross-section perpendicular to the X-axis between these planes runs from
The cross-section are circular disk with diameter in the
Formula used :
Area of a circular disk of diameter
Calculation :
The cross-section perpendicular to the X-axis run from
So the diameter of the circular disk be
So, the cross-section area,
Thus, the formula for the cross-section area is
b.
To find: The formula for the area
b.
Answer to Problem 1E
The formula for the cross-section area is
Explanation of Solution
Given information :
The solid lies between planes perpendicular to the X-axis at
The cross-section perpendicular to the X-axis between these planes runs from
The cross-section are square with diameter in the
Formula used :
Area of a square of side “
Calculation:
The cross-section perpendicular to the X-axis run from
So the diameter of the circular disk be
So, the cross-section area,
Thus, the formula for the cross-section area is
c.
To find: The formula for the area
c.
Answer to Problem 1E
The formula for the cross-section area is
Explanation of Solution
Given information :
The solid lies between planes perpendicular to the X-axis at
The cross-section perpendicular to the X-axis between these planes runs from
The cross-section are square with diameter in the
Concept used :
The length of square’s diagonal is
So, the formula for area of a square can be written as
Calculation :
The cross-section perpendicular to the X-axis run from
So, length of the diagonal of the square be
So, the cross-section area,
Thus, the formula for the cross-section area is
d.
To find: The formula for the area
d.
Answer to Problem 1E
The formula for the cross-section area is
Explanation of Solution
Given information :
The solid lies between planes perpendicular to the X-axis at
The cross-section perpendicular to the X-axis between these planes runs from
The cross-section are equilateral triangles with diameter in the
Formula used :
The area of the equilateral triangle of side “
The cross-section perpendicular to the X-axis run from
So, length of the diagonal of the square be
So, the cross-section area,
Thus, the formula for the cross-section area is
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
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