Question 158845
First, write the equation of variation:
{{{L = k*d^4/h^2}}} Where: L = load, d = diameter, h = height, and k = the constant of variation.
You need to find the value of k first, so substitute the given values of L (10 tons), d (4 feet), and h (16 feet).
{{{10 = k(4^4)/16^2}}}
{{{10 = 256k/256}}}
{{{k = 10}}}
Now you can answer the question:
{{{L = 10(6^4)/20^2}}}
{{{L = 10(1296)/400}}}
{{{L = 32.4}}}tons.