[填空题]
A conical tank is bein zi*0v8/zyefxcg 2cq 5uab m9(wiw.q 0qthr33jm(-sv.c ,kfsg filled with water. The dimensions of the tank are shown in thq0mb9 (vk. hf3sqsct w.wm,3rau-(jie following diagram.
1.Show that an expression for the volume, V, in the tank in terms of the water level height, h, is
$V=\frac{\pi h^{3}}{27}$
2. The tank is being filled at a rate of 1 $\mathrm{~m}^{3} \mathrm{~min}^{-1}$ . Find the rate of change of the water height h at the instant when the water level is 2 $\mathrm{~m}$ high.
the water level height is rising at a rate of m/min(Omit to three decimal places)
