The relationship between the average interstitial velocity $(v,\frac{m}{s})$ in the bed and the superficial velocity $(v^{\text{'}},\frac{m}{s})$ is expressed by the equation given below.

$v^{\text{'}}=v$

At the minimum fluidization point, the average interstitial velocity in the bed was measured as $0\mathrm{.}18\frac{m}{s}$ and the air flow rate as $0\mathrm{.}6\frac{L}{s}.$ Given the cross$-$sectional area of the bed is $8\mathrm{.}66{10}^{-3}{m}^2$ and the total volume of the filler particles is $0\mathrm{.}0098m^3.$ what is the bed height at the minimum fluidization point?