Whakaoti i te V=pir^2h+2pi/3r

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

Whakaoti mō h

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

$$r\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 3r.

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

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

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

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

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

Tangohia te 2\pi mai i ngā taha e rua.

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

He hanga arowhānui tō te whārite.

$$3\pi r^{3}h=3Vr-2\pi$$

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

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

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

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

Whakawehe 3Vr-2\pi ki te 3\pi r^{3}.

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

Whakaoti mō V

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

$$r\neq 0$$