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  • 26-02-2015
  • Mathematics
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A cylinder of lead has a mass of 14 kg. If the cylinder is 3 cm in diameter, calculate its height.

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apologiabiology
apologiabiology apologiabiology
  • 26-02-2015
1 gram=1 cubic cm

14kg
kg=1000g
14kg=14000g
volume=14000
14000=volume


volume of cylinder=area of base times height
area of base=area of circle=pi times radius^2
2 times radius=diametert
radius=diameter/2
diameter=3
radius=3/2
radius=1.5
aprox pi to 3.14
14000=(3.14 times 1.5^2) times h
14000=(3.14 times 2.25) times h
14000=7.065 timtes h
divide both sdies by 7.065
1981.6=height

height=1981.6cm or 1.9816m


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