+26381 How do i find the surface area?
\(\begin{array}{|rcll|} \hline V(s) &=& \left( 0.4547\cdot s^{\frac12} \right)^3 \quad & | \quad \text{cube root both sides} \\ \sqrt[3]{V(s)} &=& 0.4547\cdot s^{\frac12} \quad & | \quad : 0.4547 \\ \frac{\sqrt[3]{V(s)}}{0.4547} &=& s^{\frac12} \quad & | \quad \text{square both sides} \\ \left( \frac{\sqrt[3]{V(s)}}{0.4547} \right)^2 &=& s^{\frac22} \\ \left( \frac{\sqrt[3]{V(s)}}{0.4547} \right)^2 &=& s^1 \\ \left( \frac{\sqrt[3]{V(s)}}{0.4547} \right)^2 &=& s \\ \mathbf{s} & \mathbf{=} & \mathbf{\left( \frac{\sqrt[3]{V(s)}}{0.4547} \right)^2} \\ \hline \end{array} \)
\(\begin{array}{|rcll|} \hline s &=& \left( \frac{\sqrt[3]{V(s)}}{0.4547} \right)^2 \quad & | \quad V(s) = 2500\ m^3 \qquad s \text{ in } m^2\\ s &=& \left( \frac{\sqrt[3]{2500\ m^3}}{0.4547} \right)^2 \\ s &=& \left( \frac{13.5720880830\ m}{0.4547} \right)^2 \\ s &=& ( 29.8484453111 \ m )^2 \\ s &=& 890.929687492\ m^2 \\ \mathbf{s} & \mathbf{\approx} & \mathbf{ 890.93\ m^2 } \\ \hline \end{array} \)
+26381 How do i find the surface area?
\(\begin{array}{|rcll|} \hline V(s) &=& \left( 0.4547\cdot s^{\frac12} \right)^3 \quad & | \quad \text{cube root both sides} \\ \sqrt[3]{V(s)} &=& 0.4547\cdot s^{\frac12} \quad & | \quad : 0.4547 \\ \frac{\sqrt[3]{V(s)}}{0.4547} &=& s^{\frac12} \quad & | \quad \text{square both sides} \\ \left( \frac{\sqrt[3]{V(s)}}{0.4547} \right)^2 &=& s^{\frac22} \\ \left( \frac{\sqrt[3]{V(s)}}{0.4547} \right)^2 &=& s^1 \\ \left( \frac{\sqrt[3]{V(s)}}{0.4547} \right)^2 &=& s \\ \mathbf{s} & \mathbf{=} & \mathbf{\left( \frac{\sqrt[3]{V(s)}}{0.4547} \right)^2} \\ \hline \end{array} \)
\(\begin{array}{|rcll|} \hline s &=& \left( \frac{\sqrt[3]{V(s)}}{0.4547} \right)^2 \quad & | \quad V(s) = 2500\ m^3 \qquad s \text{ in } m^2\\ s &=& \left( \frac{\sqrt[3]{2500\ m^3}}{0.4547} \right)^2 \\ s &=& \left( \frac{13.5720880830\ m}{0.4547} \right)^2 \\ s &=& ( 29.8484453111 \ m )^2 \\ s &=& 890.929687492\ m^2 \\ \mathbf{s} & \mathbf{\approx} & \mathbf{ 890.93\ m^2 } \\ \hline \end{array} \)
