Question:A cylindrical vessel `32` cm high and `18`cm as the radius of the base is filled with sand. This is emptied on the ground and a conical head of sand is formed. If the height of the conical head is `24` cm, the radius of its base is : 

A `12 cm` 
B `24 cm` 
C `36 cm` 
D `48 cm` 

+ Answer
C 

+ Explanation
`π xx 18 xx 18 xx 32`

`= 1/3 π xx R^2 xx 24 ⇒R^2`

`= ((18 xx 18 xx 32)/8)`

:. R`=  36 cm.`

+ Report

Irin Moni

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