Concept explainers
The MRAM sum that approximate the volume of the sphere.
Answer to Problem 13E
The estimated volume is to be 523.6.
Explanation of Solution
Given information:
The Volume of a sphere of radius is 5. Use n = 10, 20, 40, 80, and 160.
Formula used:
The volume of the sphere is
Calculation:
Surface of sphere were generated by revolving the graph of the function
When n is large, each slice can be approximated by a cylinder of volume
Now approximate the volume of the sphere by using MRAM to sum the cylinder volumes,
The function we use in the RAM program is
The interval is [-5, 5].
So, estimated volume is to be 523.6
Conclusion:
The estimated volume is to be 523.6
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
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