Question 992289
A water tank measures 200cm by 150cm by 100cm. Calculate the capacity of the tank. 


capacity of the tank is 200 * 150 * 100  = 3,000,000 cubic cm.


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Intially there's water in the tank to a depth of 30cm. Calculate the initial volume of water in the tank. 


if you assume the formula for volume is length * width * height, then the height of the tank is 100 cm.


if the tank is filled with water to a depth of 30 cm, then the volume of water in the tank is 200 * 150 * 30 = 900,000 cubic cm.


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A tap connected to the tank delivers water into the tank at a rate of 150cm^3 per min. Write down the formula for the volume of water in the tank after t minutes, In terms of initial volume and t.


initial volume in the tank is 900,000 cubic cm.


tap fills the tank at a rate of 150 cubic cm per minute.


formula would y = 900,000 + 150 * t.


t represents the number of minutes.
y represents the volume of water in the tank after t minutes.


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EXTRA


how long would it take to fill the tank?


set y = 3,000,000 and the formula becomes:


3,000,000 = 900,000 + 150 * t.
subtract 900,000 from both sides of the equation to get:
2,100,000 = 150 * t.
divide both sides of the equation by 150 and solve for t to get:
          t = 2,100,000 / 150 which get you:
t = 14000 minutes.