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(C) Given,inner diameter of the cylindrical glass $= 5 \, cm$,so radius $r = 2.5 \, cm$. Height $h = 10 \, cm$.The apparent capacity of the glass is t

Vedclass · Accepted Answer

$163.54$

Vedclass · Answer

(C) Given,inner diameter of the cylindrical glass $= 5 \, cm$,so radius $r = 2.5 \, cm$. Height $h = 10 \, cm$.The apparent capacity of the glass is the volume of the cylinder:Apparent capacity $= \pi r^2 h = 3.14 	imes (2.5)^2 	imes 10 = 3.14 	imes 6.25 	imes 10 = 196.25 \, cm^3$.The actual capacity is reduced by the volume of the hemispherical raised portion at the base:Volume of hemisphere $= \frac{2}{3} \pi r^3 = \frac{2}{3} 	imes 3.14 	imes (2.5)^3 = \frac{2}{3} 	imes 3.14 	imes 15.625 = 32.70833... \approx 32.71 \, cm^3$.Actual capacity $= 	ext{Apparent capacity} - 	ext{Volume of hemisphere} = 196.25 - 32.71 = 163.54 \, cm^3$.

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