a warehouse is used as a granary. is is the shape of a cuboid surmounted by a half-cylinder. the base of the shed is 6m x 14m and its height is 8m. find the surface area of the non-cubiodal part.

Diameter of the half cylinder = 6 m

$\therefore $Radius of the half cylinder = $\frac{6m}{2}=3m$

Height of the half cylinder = 14 m

$Totalsurfaceareaofthenon-cuboidalpart=surfaceareaoftwosemicircle+curvedsurfaceareaofhalfcylinder\phantom{\rule{0ex}{0ex}}\therefore Totalsurfacearea=2\times \frac{1}{2}{\mathrm{\pi r}}^{2}+\frac{1}{2}\times 2\mathrm{\pi rh}={\mathrm{\pi r}}^{2}+\mathrm{\pi rh}=\mathrm{\pi r}(\mathrm{r}+\mathrm{h})=\frac{22}{7}\times 3\mathrm{m}\times 17\mathrm{m}=160.28{\mathrm{m}}^{2}\phantom{\rule{0ex}{0ex}}$

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