To state: At least four ways to change the volume and radius of a cylinder so that its height is quadrupled if height h of a cylinder varies directly with its volume V and inversely with the square of its radius r .
The change in volume and radius results in change in height.
Given information:
The height h of a cylinder varies directly with its volume V and inversely with the square of its radius r .
Explanation:
The height h of a cylinder varies directly with its volume V and inversely with the square of its radius r .
Then it can be written as:
Now replace
The height is 4 times of the original height. That is if the volume of the cylinder is 4 times of the original volume then its height is quadrupled.
Now replace
The height is 4 times of the original height. That is if the volume of the cylinder is 16 times and radius is 2 times of the original values then its height is quadrupled.
Now replace
The height is 4 times of the original height.
That is if the radius of the cylinder is half of the original radius then its height is quadrupled.
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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