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## Homework Statement

A water tank is built in the shape of a circular cone with a height of 6 m and a diameter of 10 m at the top. Water is being pumped into the tank at a rate of 2m[tex]^{3}[/tex]

per minute. Find the rate at which the water level is rising when the water is 2 m deep.

## Homework Equations

Volume of a cone - [tex]\frac{1}{3}[/tex] [tex]\Pi[/tex] r[tex]^{2}[/tex] h

Surface area of a cone - [tex]\Pi[/tex] r s + [tex]\Pi[/tex] r[tex]^{2}[/tex]

## The Attempt at a Solution

[tex]\frac{dV}{dt}[/tex] = 2m[tex]^{3}[/tex]/min

I think I have to find [tex]\frac{dh}{dt}[/tex] but other than that I'm completely lost.