Whakaoti i te V=2/3pir^2h

$$V = \frac { 2 } { 3 } \pi r ^ { 2 } h$$

Whakaoti mō h

$$\left\{\begin{matrix}h=\frac{3V}{2\pi r^{2}}\text{, }&r\neq 0\\h\in \mathrm{R}\text{, }&V=0\text{ and }r=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{2}{3}\pi r^{2}h=V$$

He hanga arowhānui tō te whārite.

$$\frac{2\pi r^{2}}{3}h=V$$

Whakawehea ngā taha e rua ki te \frac{2}{3}\pi r^{2}.

$$\frac{3\times \frac{2\pi r^{2}}{3}h}{2\pi r^{2}}=\frac{3V}{2\pi r^{2}}$$

Mā te whakawehe ki te \frac{2}{3}\pi r^{2} ka wetekia te whakareanga ki te \frac{2}{3}\pi r^{2}.

$$h=\frac{3V}{2\pi r^{2}}$$

Whakaoti mō V

$$V=\frac{2\pi hr^{2}}{3}$$