Question

The area of the base of a right circular cylinder is 616 cm² and its height is 25 cm. Find the volume of the cylinder.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{base}\mathrm{of}\mathrm{a}\mathrm{right}\mathrm{circular}\mathrm{cylinder}\mathrm{be}S{\mathrm{cm}}^2. \\ \mathrm{Given}: \\ S=616{\mathrm{cm}}^2 \\ \mathrm{Height},h=25\mathrm{cm} \\ \mathrm{Let}\mathrm{the}\mathrm{radius}\mathrm{of}\mathrm{a}\mathrm{right}\mathrm{circular}\mathrm{cylinder}\mathrm{be}\mathit{}r\mathit{}\mathrm{cm}. \\ S=\mathrm{\pi }{r}^2 \\ 616=\frac{22}{7}\times {\mathrm{r}}^2 \\ {\mathrm{r}}^2=\frac{616\times 7}{22} \\ {\mathrm{r}}^2=196 \\ \mathrm{r}=14\mathrm{cm} \\ \mathrm{Volume}\mathrm{of}\mathrm{the}\mathrm{cylinder},\mathrm{V}=\mathrm{\pi }{r}^{2}h \\ =\mathrm{\pi }\times {\left(14\right)}^2\times 25 \\ =15400{\mathrm{cm}}^3 \end{gathered}$$