Concept explainers
a.
To calculate the accuracy you should maintain in measure the interior diameter of the cylinder.
a.
Answer to Problem 46E
You should measure r with an error dr that is no more than 0.5% of the true value.
Explanation of Solution
Given information:
Height of the cylinder is 10 m.
Be sure of calculating the volume of cylinder to within 1% of its true value.
Calculation :
Since percentage error allowed for the radius is same as the percentage error allowed for diameter.
Consider the interior diameter of the cylinder be r .
You want any accuracy in your measurement to be small enough to make the corresponding increment
Replace
This gives
You should measure r with an error dr that is no more than 0.5% of the true value.
b.
To calculate the accuracy you should maintain in measure the exterior diameter of the cylinder.
b.
Answer to Problem 46E
You should measure r with an error dr that is no more than 5% of the true value.
Explanation of Solution
Given information:
Height of the cylinder is 10 m.
Be sure of calculating the surface area of side wall of cylinder to within 5% of its true value.
Calculation :
Since percentage error allowed for the radius is same as the percentage error allowed for diameter.
Consider the exterior diameter of the cylinder be r .
You want any accuracy in your measurement to be small enough to make the corresponding increment
Replace
This gives
You should measure r with an error dr that is no more than 5% of the true value.
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
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