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Q.

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  cm3/min,  when the radius is 2 cm and the height is 3 cm is

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a

−2π

b

−3π5

c

−8π5

d

2π5

answer is D.

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Detailed Solution

Given v=πr2h. dVdt=πr2dhdt+2rdrdth

 put drdt=110,dhdt=210;r=2,h=3

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