if w=140 when d =4 2/3 and L=54 find d in terms of W and L

Question

the weight wkg of a metal was varies jointly as it lenght L meters and square of its diameter d metres if w=140 when d =4 2/3 and L=54 find d in terms of W and L

Answer 1

Question: The weight W kg of a metal was varies jointly as it length L meters and square of its diameter d metres if W=140 when d =4 2/3 and L=54 find d in terms of W and L.

The formula is: W = k*L*d^2, where k is the constant of proportionality.

Using the given data,

140 = k*(54)*(4 2/3)^2 = k*54*196/9

k = (9*140)/(54*196) = 5/42

k = 5/42

The formula is: W = (5/42)*L*d^2