SSC MTS 6 Aug 2019 Shift 1 Paper

The curved surface area of a cylinder = 25344 ${\mathrm{cm}}^2$
$\Rightarrow 2\mathrm{\pi }\mathit{r}\mathit{h}=25344$
⇒ r = 25344/2$\mathrm{\pi }\mathrm{h}$ = 25344/(2$\mathrm{\pi }$ × 32) = 396/$\mathrm{\pi }$ = 396 × 7/22
⇒ r = 126 cm
⇒ Required volume of the cylinder =$\frac{\mathrm{\pi }}{792}\times \mathrm{\pi }\times {\mathrm{r}}^2\times \mathrm{h}$
⇒ Required volume of the cylinder = $\frac{22\times 22\times 126\times 126\times 32}{7\times 792\times 7}$ = 6,336 ${\mathrm{cm}}^3$
∴ The volume of the cylinder is 6,336 ${\mathrm{cm}}^3$