A hemispherical bowl of internal radius 9cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3cm and height 4cm. How many bottles are required to empty the bowl?
ANSWER:
It is given that
Internal radius of the hemispherical bowl = 9cm
Diameter of the hemispherical bowl = 9/2 = 4.5 cm
Diameter of the bottle = 3cm
Radius of the bottle = 3/2 = 1.5cm
Height of the bottle = 4cm
We know that
Number of bottles = Volume of bowl/ Volume of each bottle
So we get
Number of bottles = (2/3 πR3)/ (πr2h)
By substituting the values
Number of bottles = (2/3 π (9) 3)/ (π (3/2) 2h)
On further calculation
Number of bottles = (2/3 (9) 3)/ ((3/2) 2h)
So we get
Number of bottles = 54
Therefore, 54 bottles are required to empty the bowl.
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