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Sand is being poured on the ground from the orifice of an elevated pipe and forms a pile which has always the shape of a right circular cone whose height is equal to the radius of the base. If the sand is falling at the rate of 6 cubic ft per sec, the rate at which the height of the pile is rising when the height is 5 ft is

A

`9//4pi` ft/sec

B

`3//8pi` ft/sec

C

`7//23pi` ft/sec

D

`6//25pi` ft/sec

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
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