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A metallic cylinder of diameter 16 cm and height 9 cm is melted and recast in to sphere of diameter 6cm .How many such spheres can be formed? |
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Answer» Correct Answer - (i)5796 `cm^(2)` (ii) 23968 `cm^(3)` For the cylinder, Radius =`(16)/(2)=8 cm` Height =9cm Diameter of sphere=6cm Radius of sphere=`(6)/(2)=3cm` Now volume of one sphere=`(4)/(3)pi(3)^(3)=36picm^(3)` `therefore` Number of spheres formed=`("volume of cylinder")/("volume of one sphere")=(576pi)/(36pi)=16` |
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