A water tank has the shape of an inverted circular cone with a base radius 2 m and a height 4 m. If the water is being pumped into the tank at rate 2m^3/min , find the rate at which the water level is rising 3m.
help please =/?
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A water tank has the shape of an inverted circular cone with a base radius 2 m and a height 4 m. If the water is being pumped into the tank at rate 2m^3/min , find the rate at which the water level is rising 3m.
help please =/?
The volume of the cone is given by:
Also, from the height and radius, you know that:
What you know are:
You are requested to give:
Use the chain rule:
Hence, find V in terms of h, find the derivative of the volume of cone formula, replace in the equation with h = 3 m.
What do you get? :)
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