圓管體積計算

圓管
圓管
圓管

計算結果

體積

重量

圓管體積

\[ \displaystyle \begin{aligned} &= \text{底面積} \times \text{長度}\\[6pt] &= \left( \text{外圓面積} - \text{內圓面積} \right) \times \text{長度} \\[6pt] &= \frac{1}{4} \times \text{圓周率} (\cong 3.1415926) × \left( \text{外徑}^2 - \text{內徑}^2 \right) \times \text{長度} \\[6pt] &= \frac{\pi}{4} \times \left[ \text{外徑}^2 - \left( \text{外徑} - 2 \times \text{厚度} \right) ^2 \right] \times \text{長度} \\[6pt] &= \pi \left( \text{外徑} - \text{厚度} \right) \times \text{厚度} \times \text{長度} \\[6pt] &= \pi \left( D - t \right) t L \end{aligned} \]

圓管體積

\[ \displaystyle \begin{aligned} &= \text{底面積} \times \text{長度}\\[6pt] &= \left( \text{外圓面積} - \text{內圓面積} \right) \times \text{長度} \\[6pt] &= \frac{1}{4} \times \text{圓周率} (\cong 3.1415926) × \left( \text{外徑}^2 - \text{內徑}^2 \right) \times \text{長度} \\[6pt] &= \frac{\pi}{4} \times \left[ \left( \text{內徑} + 2 \times \text{厚度} \right) ^2 - \text{內徑}^2 \right] \times \text{長度} \\[6pt] &= \pi \left( \text{內徑} + \text{厚度} \right) \times \text{厚度} \times \text{長度} \\[6pt] &= \pi \left(d + t \right) t L \end{aligned} \]

圓管體積

\[ \displaystyle \begin{aligned} &= \text{底面積} \times \text{長度} \\[6pt] &= \left( \text{外圓面積} - \text{內圓面積} \right) \times \text{長度} \\[6pt] &= \frac{1}{4} \times \text{圓周率} (\cong 3.1415926) × \left( \text{外徑}^2 - \text{內徑}^2 \right) \times \text{長度} \\[6pt] &= \frac{\pi}{4} \left( D^2 - d^2 \right) L \end{aligned} \]