A juice seller serves his customers using a glass as shown in figure .The inner diameter of the cylindrical glass is 6.5 cm but the bottom of the glass has a hemispherical portion raised ,which reduces the capacity of the glass .If the height of the glass is 30cm ,find the apparent capacity of the glass and its actual capacity.
[take pie=3.14]
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Apparent capacity of glass = volume of cylinder .
•actual capacity of glass = volume of cylinder - volume of hemisphere
1.) Volume of cylinder .
Given inner diameter of the glass = 6.5 cm
So radius = r = diameter /2
= 6.5/2
= 3.25cm
Height= 30 cm
Volume of cylindrical glass = πr²h
=3.14×3.25×3.25×30
= 994.9875cm³
2.) Volume of the hemisphere
Radius of hemisphere = r= 3.25 cm
Volume of the hemisphere=2/3πr³
=2/3×3.14×3.25^3
=71.8602083cm³
Actual volume = volume of cy. - volume of hemisphere
= 994.9875cm³-71.8602083cm³
=923.127292
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