A circle's radius is increased by 10%. By what percentage does its area increase?
1 answer:
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Answer: or
Step-by-step explanation:
The volume of a cylinder can be found with the following formula:
Where "r" is the radius and "h" is the height of the cylinder.
In this case, let be:
- the volume of one of this cylinders and
the volume of the other one.
- the radius of the first one and
the radius of the other cylinder.
- the height of one of them and
the height of the other cylinder.
Then:
Therefore, you know this:
Simplifying, you get:
Now, knowing the ratios given in the exercise, you can substitute them into the equation:
Evaluating, you get: