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The volume of a cylinder with a radius of $5 \, \text{in}$ is increasing at a rate of $36\pi \ \text{in}^3/\text{min}$.

How fast is the height changing when $h=10 \ \text{in}$?

A

$h$ is increasing at a rate of $\cfrac{36}{25} \ \text{in}/\text{min}$.

B

$h$ is decreasing at a rate of $1 \ \text{in}/\text{min}$.

C

$h$ is not changing.

D

$h$ is increasing at a rate of $\cfrac{1}{10} \ \text{in}/\text{min}$.

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