Question

A hemisphere tool of internal radius 9cm is full of liquid. This liquid is to be filled into cylindrical shaped

Answer 1

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