A hemisphere tool of internal radius 9cm is full of liquid. This liquid is to be filled into cylindrical shaped
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A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped small bottles each of diameter 3 cm and height 4 cm. How many bottles are needed to empty the bowl ?
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Answer:
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Radius of hemisphere= 9 cm
Volume of hemisphere= 2/3 π r^3
= 2/3 x9x9x9 π
= 486 π
Radius of cylindrical shaped bottles= 3/2 cm
Height= 4 cm
Volume of bottles= π r^2h
= 3/2x 3/2 x 4 π
=9 π
Now,
Required no. of bottles= volume of hemisphere/ volume of bottles
. =486 π/9π
. =54
Hence, no. of bottles required to empty the bowl = 54
_______
Answer:
_______
Radius of hemisphere= 9 cm
Volume of hemisphere= 2/3 π r^3
= 2/3 x9x9x9 π
= 486 π
Radius of cylindrical shaped bottles= 3/2 cm
Height= 4 cm
Volume of bottles= π r^2h
= 3/2x 3/2 x 4 π
=9 π
Now,
Required no. of bottles= volume of hemisphere/ volume of bottles
. =486 π/9π
. =54
Hence, no. of bottles required to empty the bowl = 54
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