Q. 164.3( 7 Votes )
A hemispherical bowl of internal radius
9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl?
Answer :
Let n bottles are needed to empty the bowl,
Therefore,
Volume of bowl = Volume of 'n' bottles
For hemispherical bowl,
Radius, r = 9 cm
As we know,
Volume of a hemispherical bowl 
Where r is the radius of hemisphere
Volume of bowl
For single cylindrical bottle,
Base radius, r = 1.5 cm
Height, h = 4 cm
As we know,
Volume of cylinder = πr2h
Where r is base radius,
h is height of cylinder.
Volume of one bottle = π(1.5)2(4) = 9π cm3
As,
Volume of bowl = volume of n bottles
486π = (9π)n
Hence, 54 bottles are needed to empty the bowl.
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