see the following thread ...
http://www.mathhelpforum.com/math-he...ted-rates.html
Hello Everyone,
I need help on problems like this one:
A water tank is the shape of an inverted cone which has a height of 120 meters and a diameter at the top of 60 meters. Water starts flowing out of the tank at a rate of 5 cubic meters per second.
Find the volume of the water, V, as a function of water height, H.
Find H as a function of time, T, since the water started flowing from a full tank.
If you know how to do this please reply
Thanks!
see the following thread ...
http://www.mathhelpforum.com/math-he...ted-rates.html
Thanks for replying!
Unfortunatly that didn't really help me much. I don't know what derivative of w/r means or the If some one could explain these it might help me more. My pre-cal teacher is really frustrating, he didn't explain these problems just handed them out. Can someone explain this to me in pre-cal language?
the water in the tank forms a conical shape similar to the entire cone.A water tank is the shape of an inverted cone which has a height of 120 meters and a diameter at the top of 60 meters. Water starts flowing out of the tank at a rate of 5 cubic meters per second.
Find the volume of the water, V, as a function of water height, H.
Find H as a function of time, T, since the water started flowing from a full tank.
let = radius of the water surface
= height of the water surface
so, or
let = volume of water in the tank
substitute for in the volume equation
since ...
to get as a function of time, solve the last equation for .