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A hemispherical bowl of inner diameter of 36cm contains a liquid is to be filled in cylinder bottles of radius 3cm and height 6cm how many bottles are required to empty the bowl??
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__Hemispheral bowl__
Diameter = 36 cm
Radius, R = 36/2 = 18 cm
Volume = 4/3 πR³
__Cylinder bottles__
Radius, r = 3 cm
Height, h = 6 cm
Volume = πr²h
Let the number of bottles be n.
A.T.Q.
Volume of Hemisphere = n × Volume of Cylinder
4/3 πR³ = n × πr²h
4/3 R³ = n × r²h
4/3 × ( 18 )³ = n × ( 3 )² × 6
n = 144
__No. of bottles = 144__
Diameter = 36 cm
Radius, R = 36/2 = 18 cm
Volume = 4/3 πR³
__Cylinder bottles__
Radius, r = 3 cm
Height, h = 6 cm
Volume = πr²h
Let the number of bottles be n.
A.T.Q.
Volume of Hemisphere = n × Volume of Cylinder
4/3 πR³ = n × πr²h
4/3 R³ = n × r²h
4/3 × ( 18 )³ = n × ( 3 )² × 6
n = 144
__No. of bottles = 144__
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