The given figure shows a bottle made up of two cylinders. The dimensions of the bottle are also shown. What is the volume of the bottle?

Given: Radius (R) of the bigger cylinder = 8 cm

Height (H) of the bigger cylinder = 28 cm

Radius (r) of the smaller cylinder = 3 cm

Height (h) of the smaller cylinder = 7 cm

Volume of the given bottle = Volume of the bigger cylinder + Volume of the smaller cylinder

$={\mathrm{\pi R}}^2\mathrm{H}+{\mathrm{\pi r}}^2\mathrm{h}$

$=\mathrm{\pi }\left({\mathrm{R}}^2\mathrm{H}+{\mathrm{r}}^2\mathrm{h}\right)$

$=\frac{22}{7}\times \left(8^2\times 28+3^2\times 7\right)$

$=\frac{22}{7}\times (1792+63)$

$=5830 {\mathrm{cm}}^3$

Thus, the volume of the bottle is 5830 cm³.