A juice seller was serving his customers using glasses
as shown in the figure. The inner diameter of the
cylindrical glass was 5 cm, but the bottom of the glass
had a hemispherical raised portion which reduced the
capacity of the glass. If the height of a glass was
10 cm, find the apparent capacity of the glass and its
actual capacity. [Use t = 3.14.]
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Answered by
87
➝ Given :-
- Radius of the cylindrical glass,r =
- Height of the cylindrical glass = 10cm
- Radius of the hemisphere part,r =
➝ To find :-
- capacity of the glass
➝ solution :-
Apparent capacity of the glass
therefore, actual capacity of the glass = apparent capacity of the glass - volume of the hemspherical part
= (196.25 - 32.71)cm³
= 163.54 cm³
hence, the capacity of the glass is 163.54 cm³.
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➝ NoTe :-
- refer the above attachment
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Answered by
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Actual capacity of Glass= Volume of cylinder - Volume of hemisphere
⇒ volume of cylinder=πr2h
where r=2D=25cm;
h=10cm;D=3.14
⇒3.14×(25)2×10
⇒3.14×6.25×10
⇒196.25cm3
Volume of Hemisphere ⇒32πr3
(r=25)
⇒32×3.14×(25)3
⇒32×3.14×15.625
⇒32.7cm3
∴ Actual capacity 196.25−32.7=163.55cm3
and apparent capacity ⇒196.25cm3
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