A=2pirh+2pir^2 eching

$$A = 2 \pi r h + 2 \pi r ^ { 2 }$$

h uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$2\pi rh+2\pi r^{2}=A$$

Ikkala tarafdan 2\pi r^{2} ni ayirish.

$$2\pi rh=A-2\pi r^{2}$$

Ikki tarafini 2\pi r ga bo‘ling.

$$\frac{2\pi rh}{2\pi r}=\frac{A-2\pi r^{2}}{2\pi r}$$

2\pi r ga bo'lish 2\pi r ga ko'paytirishni bekor qiladi.

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

A-2\pi r^{2} ni 2\pi r ga bo'lish.

$$h=-r+\frac{A}{2\pi r}$$

A uchun yechish

$$A=2\pi r\left(r+h\right)$$