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A juice seller was serving his customers using glasses as shown in the figure. The inner diameter of the cylindrical glass was $5.6$ 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 $10$ cm, find the apparent capacity and the actual capacity of the glass.
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Radius$(r) = 2.8$cm
Apparent capacity of glass $= \frac{22}{7} \times 2.8 \times 2.8 \times 10$
$= 246.4$ cm$^3$
Volume of hemispherical part $= \frac{2}{3} \times \frac{22}{7} \times 2.8 \times 2.8 \times 2.8$
$= 45.9$ cm$^3$
$\therefore$ Actual capacity of glass $= 246.4 - 45.9$
$= 200.5$ cm$^3$ or $200.5$ ml
Apparent capacity of glass $= \frac{22}{7} \times 2.8 \times 2.8 \times 10$
$= 246.4$ cm$^3$
Volume of hemispherical part $= \frac{2}{3} \times \frac{22}{7} \times 2.8 \times 2.8 \times 2.8$
$= 45.9$ cm$^3$
$\therefore$ Actual capacity of glass $= 246.4 - 45.9$
$= 200.5$ cm$^3$ or $200.5$ ml