Issolvi 4/3*pi*r^3=1/3*pi*(3r)^2*h

$$\frac { 4 } { 3 } \times \pi \times r ^ { 3 } = \frac { 1 } { 3 } \times \pi \times ( 3 r ) ^ { 2 } \times h$$

Solvi għal h (complex solution)

$$\left\{\begin{matrix}\\h=\frac{4r}{9}\text{, }&\text{unconditionally}\\h\in \mathrm{C}\text{, }&r=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Annulla \pi fuq iż-żewġ naħat.

$$\frac{4}{3}r^{3}=\frac{1}{3}\times \left(3r\right)^{2}h$$

Espandi \left(3r\right)^{2}.

$$\frac{4}{3}r^{3}=\frac{1}{3}\times 3^{2}r^{2}h$$

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$\frac{4}{3}r^{3}=\frac{1}{3}\times 9r^{2}h$$

Immultiplika \frac{1}{3} u 9 biex tikseb 3.

$$\frac{4}{3}r^{3}=3r^{2}h$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$3r^{2}h=\frac{4}{3}r^{3}$$

L-ekwazzjoni hija f'forma standard.

$$3r^{2}h=\frac{4r^{3}}{3}$$

Iddividi ż-żewġ naħat b'3r^{2}.

$$\frac{3r^{2}h}{3r^{2}}=\frac{4r^{3}}{3\times 3r^{2}}$$

Meta tiddividi b'3r^{2} titneħħa l-multiplikazzjoni b'3r^{2}.

$$h=\frac{4r^{3}}{3\times 3r^{2}}$$

Iddividi \frac{4r^{3}}{3} b'3r^{2}.

$$h=\frac{4r}{9}$$

Solvi għal h

$$\left\{\begin{matrix}\\h=\frac{4r}{9}\text{, }&\text{unconditionally}\\h\in \mathrm{R}\text{, }&r=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Annulla \pi fuq iż-żewġ naħat.

$$\frac{4}{3}r^{3}=\frac{1}{3}\times \left(3r\right)^{2}h$$

Espandi \left(3r\right)^{2}.

$$\frac{4}{3}r^{3}=\frac{1}{3}\times 3^{2}r^{2}h$$

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$\frac{4}{3}r^{3}=\frac{1}{3}\times 9r^{2}h$$

Immultiplika \frac{1}{3} u 9 biex tikseb 3.

$$\frac{4}{3}r^{3}=3r^{2}h$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$3r^{2}h=\frac{4}{3}r^{3}$$

L-ekwazzjoni hija f'forma standard.

$$3r^{2}h=\frac{4r^{3}}{3}$$

Iddividi ż-żewġ naħat b'3r^{2}.

$$\frac{3r^{2}h}{3r^{2}}=\frac{4r^{3}}{3\times 3r^{2}}$$

Meta tiddividi b'3r^{2} titneħħa l-multiplikazzjoni b'3r^{2}.

$$h=\frac{4r^{3}}{3\times 3r^{2}}$$

Iddividi \frac{4r^{3}}{3} b'3r^{2}.

$$h=\frac{4r}{9}$$

Solvi għal r

$$r=0$$

$$r=\frac{9h}{4}$$