SOLUTION: The height of a particular type of container is directly proportional to the cube root of the volume of fluid it can contain. If a container with a height of 3.06 m can hold 15 m3
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Question 968352: The height of a particular type of container is directly proportional to the cube root of the volume of fluid it can contain. If a container with a height of 3.06 m can hold 15 m3 of fluid, what height of container would be needed to hold 30 m3 of fluid? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The height of a particular type of container is directly proportional to the cube root of the volume of fluid it can contain. If a container with a height of 3.06 m can hold 15 m3 of fluid,
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h = k*v^(1/3)
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Solve for "k"::
3.06 = k*15^(1/3)
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k = 3.06/15^(1/3) = 1.24
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Equation:
h = 1.24*v^(1/3)
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what height of container would be needed to hold 30 m3 of fluid?
Ans: h = 1.24*30^(1/3) = 3.85 m
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Cheers,
Stan H.
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