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How do you find the radius of a cylindrical can if the water level falls by 10 cm when 3 liters of water is removed?
The main thing to understand in a problem like this is that the water that is removed formed a cylinder before it was removed. So we had a cylinder with a volume of 3 litres.
The volume of a cylinder is given by the formula:
V = pi * h * r * r
If we blindly put in our facts we get:
3 litres = pi * 10 cm * r cm * r cm
There's a problem because we have different units on either side of the equation. This is easily put right because we know that a litre is 1000 cubic centimetres.
3000 cm * cm * cm = pi * 10 cm * r cm * r cm
We can 'cancel' the units out on both sides now.
3000 = pi * 10 * r * r
and solve for r
r = sqrt ( 3000 / ( 10 * pi ) )
What else can I help you with?
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