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Differential Calculus

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17 Sep 2011 13:07:00 IST

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477

dy/dx as rate measurer

Mathematics

sand drops from a pipe at the rate 3cubic ft./min and forms a heap of cone on the ground of vertical angle 90⁰. At what rate the height is increasing after 4 miutes ?

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Vikram Saxena

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Joined: 1 Apr 2007

Posts: 3737

18 Sep 2011 13:38:09 IST

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after 4 min.

volume =12 = pi r^2h/3

r=h because virtical angle is 90

12=1/3pih^3

now from here find the value of h...........

now , rate change of volume is 3 =1/3*3pih^2dh/dt

put the value of dh/dt =?????????

Shaun Shivam

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Joined: 1 Sep 2011

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19 Sep 2011 18:07:38 IST

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thanks for helping me

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