A juice seller was serving his customers using glasses as shown in the figure. The inner diameter of the cylindrical glass was $\displaystyle 5 \cdot 6$ cm, but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of the glass was $\displaystyle 10$ cm, find the apparent capacity and the actual capacity of the glass.

Radius( r ) \(\displaystyle =2.8 \mathrm{~cm}\) \[\begin{aligned} \text { Apparent capacity of glass }== & \frac{22}{7} \times 2.8 \times 2.8 \times 10 \\ & =246.4 \mathrm{~cm}^{3} \end{aligned} \] \[\begin{gathered} \text { Volume of hemispherical part }==\frac{2}{3} \times \frac{22}{7} \times 2.8 \times 2.8 \times 2.8 \\ =45.9 \mathrm{~cm}^{3} \end{gathered} \] \[\begin{aligned} \therefore \text { Actual capacity of glass } & =246.4-45.9 \\ & =200.5 \mathrm{~cm}^{3} \text { or } 200.5 \mathrm{ml} \end{aligned} \]