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A conical paper cup 20 cm across the top...

A conical paper cup 20 cm across the top and 15 cm deep is full of water. The cup springs a leak at the bottom and losses water at 5 cu. cm per minute.
The value of `(d^(2)h)/(dt^(2))"(""in cm"//min^(2)")"` when the water is exactly `7.5 "cm deep and"(d^(2)V)/(dt^(2))=-4/9cm^(3)//min^(2)is`

A

`-2/5`

B

`(-2)/(125pi^(3))`

C

`(-2)/(5pi^(3))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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