1
\begin{aligned}\mathrm{Surface\ area}&=4\pi\mathrm{r}^{2}\\\mathrm{V}&=\frac{4}{3}\pi\mathrm{r}^{3}\end{aligned}
2
\begin{aligned}\mathrm{Thickness}&=\mathrm{R}-\mathrm{r}\\\mathrm{Material\ volume}&=\frac{4}{3}\pi(\mathrm{R}^{3}-\mathrm{r}^{3})\end{aligned}
3
\begin{aligned}\mathrm{CSA}&=2\pi\mathrm{r}^{2}\\\mathrm{Base\ area}&=\pi\mathrm{r}^{2}\\\mathrm{TSA}&=3\pi\mathrm{r}^{2}\\\mathrm{V}&=\frac{2}{3}\pi\mathrm{r}^{3}\end{aligned}
4
\begin{aligned}\mathrm{Thickness}&=\mathrm{R}-\mathrm{r}\\\mathrm{External\ CSA}&=2\pi\mathrm{R}^{2}\\\mathrm{Internal\ CSA}&=2\pi\mathrm{r}^{2}\\\mathrm{TSA}&=2\pi(\mathrm{R}^{2}+\mathrm{r}^{2})+\pi(\mathrm{R}^{2}-\mathrm{r}^{2})\\\mathrm{Material\ volume}&=\frac{2}{3}\pi(\mathrm{R}^{3}-\mathrm{r}^{3})\end{aligned}