Q. 143.9( 63 Votes )

# Sand is pouring f

Answer :

Let V be the volume of the cone, then

It is given that, h=

⇒ r = 6h

Therefore,

Now, the rate of change of its volume with respect to time (t) is given by:

Now, the rate of change of its volume with respect to x is as

……… by chain rule

…………….(1)

Now, it is also given that and h = 4cm

So, putting the value in equation (1), we get

Therefore, the height of the sand cone increasing when the height is 4 cm is cm/s.

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