Question:A hemisphere of lead of radius`6` cm is cast into a right circular cone of height `75` cm. The radius of the base of the cone is : 

A `1.4 cm` 
B `2 cm` 
C `2.4 cm` 
D `4.2 cm` 

+ Answer
C 

+ Explanation
`2/3 π xx 6 xx 6 xx 6`

`= 1/3 π xx R^2 xx 75`

`or R^2 = (2 xx 6 xx 6 xx 6)/75`

`or R = 12/5`

`= 2.4 cm.`

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Irin Moni

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