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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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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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