Thursday, July 8, 2010

Derivative question, help plz?

a conical party hat made of cardboard has a radius of 4 in and a height of 12 in. When filled with juice it leaks at the rate of 4 in^3/min. At what rate is the level of juice falling when the juice is 6 in deep?

Thanx!

(answer is 1/pi in/min but how)
h/r=3

Volume=1/3pir^2h=1/27 pi(h^3)



rate of leaking= dv /dt=4

=

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