12. A boy has a spherical ladoo whose
radius is 4 cm. A girl has 8 spherical ladoos
each of radius 2 cm. Find the ratio of the
volumes of ladoos girl has to the ladoo boy
has. (2016-GL3UFU4, 12L7U55; 2016-3NBOATS)
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Step-by-step explanation:
Radius of laddoo=5cm
Volume of laddo=4/3×pi (radius)^3 cc=4/3×pi×5^3cc
Radius of smaller laddoo=2.5cm
Volume of each small laddoo=4/3×pi 2.5^3cc
Let n small laddoos be made from the large laddo.
Therefore 4/3×pi×5^3=4/3×pi×2.5^3×n
=> 5^3=n×2.5^3
=> n =( 5/2.5)^3=2^3=8
8 laddoos of radius 2.5cm can be made from 1 laddoo of radius 5cm.
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