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The radius of a right circular cylinder ...

The radius of a right circular cylinder increases at the rate of 0.1 cm/min, and the height decreases at the rate of 0.2 cm/min. The rate of change of the volume of the cylinder, in `c m^2//m in` , when the radius is `2c m` and the height is 3cm is (a) `-2pi` (b) `-(8pi)/5` `-(3pi)/5` (d) `(2pi)/5`

A

`-2pi`

B

`-(8pi)/(5)`

C

`-(3pi)/(5)`

D

`(2pi)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
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