77. A hemispherical bowl of internal diameter 24 cm is full of liquid. The liquid is to be filled into
cylindrical shaped bottles each of the radius 2 cm and height 6 cm. How many bottles are needed
to empty the bowl?
please solve it ......
step by step......
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Answer:
According to the problom
Given that
Radius of hemispherical bowl = 9 cm
Hence the volume of bowl = 2 πr ^2
3
Implies that
= 2×22×9×9×9
3 7
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
== 22×1.5×1.5×4cm^3
7
Let the number of bottle be (n)
Implies that
=n×22×9×9×9
7
implies that
=n= 2 ×9×9×9
3*1.5*1.5*4
implies that
n=5
Hence the number of bottle is 54.
Step-by-step explanation:
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