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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 radius . When the radius is 1 cm 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/s . The value of 'n' is equal to

A

12

B

22

C

30

D

33

Text Solution

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The correct Answer is:
D
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