Water pours into a tank at the rate of 2000 cm3/min. The tank is cylindrical with radius 2 meters. How fast is the height of water in the tank changing when the height of the water is 50 cm?

Volume of water in the tank:

Differentiate both sides with respect to time t :

V changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for dh/dt :

(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)

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step-by-step explanation:

exa:

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3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.