SOLUTION: The maximum load a cylindrical column of a circle cross section can support varies directly as fourth power of the diameter (exponent is 4) and inversely as the square of the heigh

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Question 820339: The maximum load a cylindrical column of a circle cross section can support varies directly as fourth power of the diameter (exponent is 4) and inversely as the square of the height. If a column 2 feet in diameter an 10 feet high supports up to 6 tons. How many tons can column 3 feet in diameter and 18 feet high support? assume both columns are made from same material.
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
Assign some variables.
L = load
d = diameter
h = height

The description would give where k is a proportionality constant.

Next you are given some values and need to find the value for k.
,
Substitute the values for finding k,

and use this value for k in the question about L for the 3 foot diameter, 18 foot high column.
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