V=1/3pi35cm^2*53cm eching

$$V = \frac { 1 } { 3 } \pi 35 cm ^ { 2 } \cdot 53 cm$$

V uchun yechish

$$V=\frac{1855\pi c^{2}m^{3}}{3}$$

Yechim qadamlari

c^{2} hosil qilish uchun c va c ni ko'paytirish.

$$V=\frac{1}{3}\pi \times 35c^{2}m^{2}\times 53m$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$V=\frac{1}{3}\pi \times 35c^{2}m^{3}\times 53$$

\frac{35}{3} hosil qilish uchun \frac{1}{3} va 35 ni ko'paytirish.

$$V=\frac{35}{3}\pi c^{2}m^{3}\times 53$$

\frac{1855}{3} hosil qilish uchun \frac{35}{3} va 53 ni ko'paytirish.

$$V=\frac{1855}{3}\pi c^{2}m^{3}$$

c uchun yechish (complex solution)

$$\left\{\begin{matrix}c=-\frac{m^{-\frac{3}{2}}\sqrt{\frac{5565V}{\pi }}}{1855}\text{; }c=\frac{m^{-\frac{3}{2}}\sqrt{\frac{5565V}{\pi }}}{1855}\text{, }&m\neq 0\\c\in \mathrm{C}\text{, }&V=0\text{ and }m=0\end{matrix}\right,$$

c uchun yechish

$$\left\{\begin{matrix}c=\frac{\sqrt{\frac{5565V}{\pi m^{3}}}}{1855}\text{; }c=-\frac{\sqrt{\frac{5565V}{\pi m^{3}}}}{1855}\text{, }&\left(V\geq 0\text{ and }m>0\right)\text{ or }\left(V\leq 0\text{ and }m<0\right)\\c\in \mathrm{R}\text{, }&V=0\text{ and }m=0\end{matrix}\right,$$