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iit jee Grade: 12
        

Sand is pouring from a pipe at the rate of 12 cm3/s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one - sixth of the radius of the base. How fast is the height  of the sand cone increasing when the height is 4 cm? 

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear


V= ∏/3 r2h




given h=r/6


  or  r=6h


V = 12∏h3


differentiate w.r.t time


dV/dt = 36∏h2 dh/dt




dh/dt = 12/(36*∏*16)


        =6.63 X 10-3 cm/sec


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Badiuddin

7 years ago
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