The radius of a right circular cylinder increases at a \( \mathrm{P...

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The radius of a right circular cylinder increases at a
\( \mathrm{P} \) constant rate. Its altitude is a linear function of the

W radius and increases three times as fast as radius. When the radius is \( 1 \mathrm{~cm} \) the altitude is \( 6 \mathrm{~cm} \). When the radius is \( 6 \mathrm{~cm} \), the volume is increasing at the rate of \( 1 \mathrm{~cm}^{3} / \mathrm{s} \). When the radius is \( 36 \mathrm{~cm} \), the volume is increasing at a rate of \( \mathrm{n} \mathrm{cm}^{3} / \mathrm{s} \). The value of ' \( n \) ' is equal to
(1) 12
(2) 22
(3) 30
(4) 33
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