V=2/3pir^2h eching

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

h uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

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

Tenglama standart shaklda.

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

Ikki tarafini \frac{2}{3}\pi r^{2} ga bo‘ling.

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

\frac{2}{3}\pi r^{2} ga bo'lish \frac{2}{3}\pi r^{2} ga ko'paytirishni bekor qiladi.

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

h uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

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

Tenglama standart shaklda.

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

Ikki tarafini \frac{2}{3}\pi r^{2} ga bo‘ling.

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

\frac{2}{3}\pi r^{2} ga bo'lish \frac{2}{3}\pi r^{2} ga ko'paytirishni bekor qiladi.

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

V uchun yechish

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