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(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Assign some variables.
L = load
d = diameter
h = height

The description would give L=kd%5E4%2Fh%5E2 where k is a proportionality constant.

Next you are given some values and need to find the value for k.
L%2Ah%5E2%2Fd%5E4=k,
Substitute the values for finding k,
k=6%2A10%5E2%2F2%5E4
and use this value for k in the question about L for the 3 foot diameter, 18 foot high column.