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The radius of the base of a cone is increasing at the rate of 3 cm/min and the altitude is decreasing at the rate of 4 cm/min. The rate of change of lateral surface when the radius is 7 cm and altitude is 24cm is (a) `108pic m^2//min` (b) `7pic m^2//min` (c) `27pic m^2//min` (d) none of these

A

`108picm^(2)//min`

B

`7picm^(2)//min`

C

`27picm^(2)//min`

D

none of these

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