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\mathrm{V}=\frac{1}{3} \pi \mathrm{r}^{2} \mathrm{~h}=\frac{1}{3} \pi\left(\frac{2}{7} \mathrm{~h}\right)^{2} \mathrm{~h}=\frac{4}{147} \pi \mathrm{h}^{3}.