a.
To calculate: The percentage errors of the radius of a sphere.
a.
Answer to Problem 67RE
The percentage errors of the radius of a sphere
Explanation of Solution
Given information: The circumference of a equator of a sphere is measured as
Formula used: The circumference of a sphere
Calculation:
The circumference of a equator of a sphere is measured as
The circumference of a sphere
The circumference of a equator of a sphere is measured as
The percentage errors of the radius of a sphere
The percentage errors of the radius of a sphere
b.
To calculate: The percentage errors of the surface area of a sphere.
b.
Answer to Problem 67RE
The percentage errors of the surface area of a sphere
Explanation of Solution
Given information: the radius of a sphere
And
Formula used: The surface area of a sphere
Calculation:
The surface area of a sphere
Derivative of the surface area for a sphere in terms of r
Now, find the surface area of the sphere
The percentage errors of the surface area of a sphere
The percentage errors of the surface area of a sphere
c.
To calculate: The percentage errors of the volume of a sphere.
c.
Answer to Problem 67RE
The percentage errors of the volume of a sphere
Explanation of Solution
Given information: the radius of a sphere
And
Formula used: The volume of a sphere
Calculation:
The volume of a sphere
Derivative of the volume for a sphere in terms of r
Now, find the volume of the sphere
The percentage errors of the volume of a sphere
The percentage errors of the volume of a sphere
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic
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