Question:Two cylindrical vessels with radii `15`cm and `10` cm and heights `35` cm ans `15` cm respectively are fiiled with water. If this water is poured into a cylindrical vessel `15` cm in height, then the radius of the vessel is : 

A `17.5 cm` 
B `18 cm` 
C `20 cm` 
D `25 cm` 

+ Answer
D 

+ Explanation
Volume of new vessel 

`= [π xx (15)^2 xx 35 + π xx (10)^2 xx 15]`

`= 9375 π`

`:. πR^2 xx 15`

`= 9375π or R^2 = 625.`

`So, R = 25 cm.`

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Irin Moni

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