1.

A solid cylinder of brass 9m high and 4m in diameter is melted and recast into a cone of diameter 3m. Find the height of the cone

Answer»

Heya !!


HEIGHT of cylinder ( H ) = 9 m



Diameter ( D ) = 4 m




Radius ( R ) = D/2 = 2 m





Volume of cylinder = πR²H



=> 22/7 × 2 × 2 × 9



=> ( 22 × 4 × 9 ) / 7



=> 113.14 m².




Diameter of CONE ( d ) = 3 m



Radius of cone ( r ) = d/2 = 3/2 = 1.5 m



Volume of cylinder = Volume of cone





113.14 = 1/3 πr²h




1/3 × 22/7 × 1.5 × 1.5 × h = 113.14




h = ( 113.14 × 7 × 3 ) / ( 22 × 1.5 × 1.5 )




h = 2375.94/49.5



h = 47.99 m


Hence,



Height of cone ( h) = 47.99 m



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