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A water is poured into an inverted cone ...

A water is poured into an inverted cone whose semi-vertical angle is `45^(@)` so that the level of water increases at the rate of 1 cm/sec. then the rate at which the volume of water is increasing when height of water in cone is 2 cm is

A

`4 pi cm^(3)"/sec."`

B

`48 pi cm^(3)"/sec."`

C

`16 pi cm^(3)"/sec."`

D

`64 pi cm^(3)"/sec."`

Text Solution

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The correct Answer is:
A
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