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Q.

Water pours out at the rate of Q from a tap, into a cylindrical vessel of radius r. Then the rate at which the height of water level rises when the height is h

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a

Qπr2

b

πr2Q

c

Qr2

d

πr2Q

answer is B.

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Detailed Solution

V=πr2h⇒dvdh=πr2dhdt

⇒Q=πr2dhdt

⇒dhdt=Qπr2

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