By Computing the Volume of the Solid of Revolution Obtained

question 140

Short Answer

By computing the volume of the solid of revolution obtained by revolving the region under the semicircle
​ ​
from to about the -axis, show that the volume of a sphere of radius is cubic units.

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Definitions:

Error

The difference between a measured or estimated value and the true value.

Slope

In mathematics, the rate of change or gradient of a line, indicating its steepness and direction.

Population Regression Line

The line that best describes the relationship between an independent variable and a dependent variable for the entire population.

Population Coefficient

A parameter that quantifies a certain characteristic or attribute of a population.