Management Aptitude Test 2017 Paper

(b) 1642.67 $\mathit{c}{\mathit{m}}^3$
Radius of the sphere (r) = $\frac{14}{2}$ = 7cm = Radius of cylinder
Height of the cylinder = (13 - 7) cm = 6 cm
Capacity of the vessel = Volume of hemisphere + Volume of cylinder
= $\frac{2}{3}\mathit{\pi }{\mathit{r}}^3+\mathit{\pi }{\mathit{r}}^2\mathit{h}$ = $\mathit{\pi }{\mathit{r}}^2\left(\frac{2}{3}\mathit{r}+\mathit{h}\right)$
= $\frac{22}{7}\times 7\times 7\left(\frac{2}{3}\times 7+6\right)$
= 154$\left(\frac{14+18}{3}\right)$ = 154 × $\frac{32}{3}$ = 1642.67 cm3