SOLUTION: If I got a 10 kg iron circle and its thickness is 1 cm how its diameter would be ?

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Question 994176: If I got a 10 kg iron circle and its thickness is 1 cm how its diameter would be ?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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Density of iron=7.874 grams/cm^3
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10000g%2F%287.874g%2Fcm%5E3%29=1270cm%5E3
For a disk:(r=radius, h=thickness)
Volume=pi%28r%5E2%29%28h%29
1270cm%5E3=pi%28r%5E2%29%281cm%29
1270cm%5E2=pi%28r%5E2%29
404.25=r%5E2
20.1=r The radius is 20.1 centimeters.
Diameter=2 x radius=2(20.1cm)=40.2 centimeters.
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ANSWER: The diameter is 40.2 centimeters.
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CHECK:
Volume=pi%28r%5E2%29%28h%29
Volume=pi%2820.1cm%29%5E2%281cm%29
Volume=pi%28404.25cm%5E3%29
Volume=1270cm%5E3
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Mass=volume x density
10kg=1270cm%5E3%280.007874kg%2Fcm%5E3%29
10kg=10kg