Question

L is inversely proportional to d^3,when d=2 ,L=100. Find the value of L when d=5.

Answer 1

Answer:

very easy,using the formula L1/ L2 = (D2)³/( D1)³

2/L = 125 / 100³

L= 2 X 10^6 / 125

L= 16,000

Answer 2

$L=\dfrac{k}{d^3}\\\\\\100=\dfrac{k}{2^3}\\\\100=\dfrac{k}{8}\\\\k=800\\\\\\L=\dfrac{800}{5}\\\\L=160$