The radius of a right circular cylinder ...

The radius of a right circular cylinder increases at a constant rate. Its altitude is a linear function of the radius and increases three times as fast as the radius when the radius is `1\ cm` and the altitude is `6\ cm`. When the radius is `6 cm`, the volume is increasing at the rate of `1\ (cm^(3))/s` . When the radius is `36 cm`, the volume is increasing at a rate of `n\ (cm^(3))/s`. What is the value of `n`?

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