Question

The circumference of the base of a cylinder is 88 cm and its height is 15 cm. Find the volume of the cylinder.

Answer 1

$$\begin{gathered} \mathrm{Let}r\mathrm{cm}\mathrm{be}\mathrm{the}\mathrm{radius}\mathrm{of}\mathrm{a}\mathrm{cylinder}. \\ \mathrm{Circumference}\mathrm{of}\mathrm{the}\mathrm{cylinder},S\mathit{=}\mathit{2}\mathrm{\pi }r \\ \mathrm{Given}: \\ \mathrm{Height},h=15\mathrm{cm} \\ \mathrm{Circumference},S=88\mathrm{cm} \\ \mathrm{S}=2\mathrm{\pi r} \\ 88=2\times \frac{22}{7}\times \mathrm{r} \\ r=\frac{88\times 7}{44} \\ r=14\mathrm{cm} \\ \mathrm{Volume}\mathrm{of}\mathrm{cylinder},V=\mathrm{\pi }{r}^{2}h \\ =\frac{22}{7}\times {14}^2\times 15 \\ =9240{\mathrm{cm}}^3 \end{gathered}$$