A water filter has the shape of an inverted right circular cone with base radius 3 meters and height 9 meters. Water is being pumped into the filter at the rate of 10 meters3/sec. Find the rate, in meters/sec, at which the water level is rising when the water is 3 meters deep

Question

danjs · Answer

write down all the given things in a list, it will make it easier to start..

V = (1/3)*pi*r^2*h
...

danjs · Answer

related rates in calc 1 right?

danjs · Answer

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danjs · Answer

dV / dt = 10 m^3 /s

danjs · Answer

put the volume formula in terms of only h or only r, by using the given ratio of the dimension values (right cone)

danjs · Answer

then differentiate everything w.r.t.  time  t..

danjs · Answer

they give you dV/dt = 10   

you have to solve for dh/dt and let h = 3