Issolvi 4/3pir^3=h/3{left(175r/1right)}^3pi

$$\frac{ 4 }{ 3 } \pi { r }^{ 3 } = \frac{ h }{ 3 } { \left( \frac{ 175r }{ 1 } \right) }^{ 3 } \pi$$

Solvi għal h

$$\left\{\begin{matrix}\\h=\frac{4}{5359375}\approx 0.000000746\text{, }&\text{unconditionally}\\h\in \mathrm{R}\text{, }&r=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Annulla \pi fuq iż-żewġ naħat.

$$\frac{4}{3}r^{3}=\frac{h}{3}\times \left(\frac{175r}{1}\right)^{3}$$

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'3.

$$4r^{3}=h\times \left(\frac{175r}{1}\right)^{3}$$

Kwalunkwe ħaġa diviża b'wieħed tagħti riżultat tagħha stess.

$$4r^{3}=h\times \left(175r\right)^{3}$$

Espandi \left(175r\right)^{3}.

$$4r^{3}=h\times 175^{3}r^{3}$$

Ikkalkula 175 bil-power ta' 3 u tikseb 5359375.

$$4r^{3}=h\times 5359375r^{3}$$

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

$$h\times 5359375r^{3}=4r^{3}$$

L-ekwazzjoni hija f'forma standard.

$$5359375r^{3}h=4r^{3}$$

Iddividi ż-żewġ naħat b'5359375r^{3}.

$$\frac{5359375r^{3}h}{5359375r^{3}}=\frac{4r^{3}}{5359375r^{3}}$$

Meta tiddividi b'5359375r^{3} titneħħa l-multiplikazzjoni b'5359375r^{3}.

$$h=\frac{4r^{3}}{5359375r^{3}}$$

Iddividi 4r^{3} b'5359375r^{3}.

$$h=\frac{4}{5359375}$$

Solvi għal r

$$\left\{\begin{matrix}\\r=0\text{, }&\text{unconditionally}\\r\in \mathrm{R}\text{, }&h=\frac{4}{5359375}\end{matrix}\right.$$