a hemispherical bowl of internal radius 18 cm contains milk . this milk is to be filled in cylindrical bottles of radius 3cm and height 6cm . find the number of bottles required to empty the bowl
Answers
Answer:
According to the problom
Given that
Radius of hemispherical bowl = 9 cm
Hence the volume of bowl =
3
2
πr
2
Implies that
=
3
2
×
7
22
×9×9×9
Implies that
=1527.42cm
3
Since height of the bottle (h) = 4cm
and Diameter of the cylindrical bottles=3cm
Implies that
radius = 1.5cm
Hence ,
the volume of the cylindrical bolltle = πr
2
h
==
7
22
×1.5×1.5×4cm
3
Let the number of bottle be (n)
Implies that
=n×
7
22
×9×9×9
implies that
=n=
3×1.5×1.5×4
2
×9×9×9
implies that
n=5
Hence the number of bottle is 54.
Step-by-step explanation:
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Step-by-step explanation:
According to the problom
Given that
Radius of hemispherical bowl = 9 cm
Hence the volume of bowl =
3
2
πr
2
Implies that
=
3
2
×
7
22
×9×9×9
Implies that
=1527.42cm
3
Since height of the bottle (h) = 4cm
and Diameter of the cylindrical bottles=3cm
Implies that
radius = 1.5cm
Hence ,
the volume of the cylindrical bolltle = πr
2
h
==
7
22
×1.5×1.5×4cm
3
Let the number of bottle be (n)
Implies that
=n×
7
22
×9×9×9
implies that
=n=
3×1.5×1.5×4
2
×9×9×9
implies that
n=5
Hence the number of bottle is 54.