The volume of liquid filled in a spherical storage tank of radius $R$ is computed from height of liquid, $h$, in the outside tube (neglecting the volume of liquid in the outside tube) as $V=\pi h^{2}\frac{\left ( 3R-h \right )}{3}$.
The estimate of liquid height (in $m$) to store $V=30\:m^{3}$ of water in $R=3\:m$ tank, after performing $ONE$ iteration of Secant method, using $1\:m$ and $3\:m$ as tow initial guesses of liquid height is _________________ (rounded off to second decimal place).