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Question 1190642: Your task is to design a swimming pool that will hold a total of 1000 cubic meters of water. You may choose one of the pools below.
Prepare a proposal to meet the following condition:
Pool A: a square with semicircles on each side at least 1 meter deep.
Pool B: a circle, at least m deep.
Pool C: a rectangle with semicircles, at least 1.5 m deep.
Submit the following:
Show the diagram of the pool. Label the dimensions.
Show that the volume of each pool is approximately 1000m 3
Explain how you obtained your answer. Show the complete solutions.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Your task is to design a swimming pool that will hold a total of 1000 cubic meters of water.
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Volume = Area* Depth in all cases.
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You may choose one of the pools below.
Prepare a proposal to meet the following condition:
Pool A: a square with semicircles on each side at least 1 meter deep.
A square with sides = 2x and the 2 semicircles has an area of:
4x^2 + pi*x^2 = x^2*(pi + 4) sq meters.
x^2*(pi + 4)*d >= 1000 cu meters
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Pool B: a circle, at least m deep.
Vol = pi*r^2*d >= 1000
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Pool C: a rectangle with semicircles, at least 1.5 m deep.
Area = L*W + pi*(W/2)^2 >= 1000/1.5
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Submit the following:
Show the diagram of the pool. Label the dimensions.
Show that the volume of each pool is approximately 1000m 3
Explain how you obtained your answer. Show the complete solutions.
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