The maximum weight that a circular column can

Question

The maximum weight that a circular column can support is directly proportional to the fourth power of it's diameter and is inversely proportional to the square of it's height. A 2-meter -diameter column that is 8 meters in height can support 1 ton. Find the weight that a 1-meter diameter column that is 4 meters in height can support.

Answer 1

w = kd^4/h^2

1 = k(2)^4/8^2 = k(16)/64 = k/4

k = 4(1) = 4

w = 4d^4/h^2

w =4(1^4)/4^2 = 4(1)/16 = 1/4 ton