A cylindrical water tank is being filled at a rate of LaTeX: 10\:m^3\:10 m 3 per minute and is leaking at a rate of LaTeX: 3\:m^33 m 3 per minute. If the water level is changing at a rate of LaTeX: \frac{4}{\pi}4 π meters/minute when the height is at 6 meters. What is the radius of the tank?

We first assume that this gas is an ideal gas where it follows the ideal gas equation. the said equation is expressed as: pv = nrt. from this equation, we can predict the changes in the pressure, volume and temperature. if the volume and the temperature of this gas is doubled, then the pressure still stays the same.

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