SOLUTION: circular pond is 8.0ft in diameter and 2.0ft deep calculate the mass of the pond in both kilograms and pounds assuming the mass of the container is negligible. The V=r^2*pie*depth

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Question 208359: circular pond is 8.0ft in diameter and 2.0ft deep calculate the mass of the pond in both kilograms and pounds assuming the mass of the container is negligible. The V=r^2*pie*depth and the density of water is 1.0g/cm^3. I am not sure how to get from cm^3 to lbs or Kg.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
these are the givens:
diameter of the pond = 8 feet
depth of the pond = 2 feet
density of the water in the pond = 1.0 grams per cubic centimeter.
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because of all the conversions required, we'll have to keep close track of the types of units used in each calculation.
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first we calculate volume in cubic feet
r = radius = half the diameter = 4 feet.
d = depth = 2 feet.
v = volume = pi%2Ar%5E2%2Ad
volume calculates out to be:
pi%2A4%5E2%2A2 = 100.5309649 cubic feet
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density is 1 gram per cubic centimeter.
we have to convert cubic feet to cubic centimeters at this time.
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1 foot = 30.48 centimeters
cube both sides of this equation to get:
1 cubic foot = 28316.84659 cubic centimeters.
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the volume in cubic centimeters is:
100.5309649 cubic feet * 28316.84659 cubic centimeters per cubic foot.
this equals:
2846719.911 cubic centimeters.
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density is 1 gram per cubic centimeter.
this makes mass = 2846720.158 grams
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there are 0.002204622 pounds per gram.
this makes the mass of the water equal to 6275.941343 pounds
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the mass of the water to the nearest pound = 6276 pounds
the mass of the water to the nearest gram = 2846720 grams
the mass of the water in kilogram = 2847 kilograms
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as a sanity check i estimated the volume of the water in gallons to be 752 gallons.
mass per gallon turned out to be 8.35 pounds.
this is close to the estimated 8.33 pounds per gallon i found somewhere else.
this confirmed that the calculations i gave you are are probably correct.
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