Question 992289: A water tank measures 200cm by 150cm by 100cm. Calculate the capacity of the tank.
Intially there's water in the tank to a depth of 30cm. Calculate the initial volume of water in the tank.
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.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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.
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