1.31: The volume of oil in a container is when the height of the oil is cm.

The volume of oil in a container is $\displaystyle V$$\displaystyle \mathrm{cm}^{3}$ when the height of the oil is $\displaystyle h$ cm. Oil is pouring into the container at a constant rate of $\displaystyle 12$$\displaystyle \mathrm{cm}^{3}$/s. Given that $\displaystyle V = 3h^3$

find the exact rate, in cm/s, at which the height of the oil is increasing when $\displaystyle V = 1536$$\displaystyle \mathrm{cm}^{3}$