A metallic sphere of radius 4.2cm is melted and recast into the shape of a cylinder of radius 6cm . find the height of the cylinder.
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Radius of Sphere ( r ) = 4.2 cm
Radius of Cylinder ( R ) = 6 cm
Height of Cylinder ( h ) = ?
whenever we cast one solid shape to another, Volume of metal remains unchanged.
• According to the Question :
⇒ Vol. of Cylinder = Vol. of Sphere
⇒ πR²h = 4/3 πr³
⇒ R²h = 4/3 r³
Putting the values
⇒ (6)² × h = 4/3 × (4.2)³
⇒ 6 × 6 × h = 4/3 × 4.2 × 4.2 × 4.2
⇒ h = 4 × 1.2 × 0.7 × 0.7
⇒ h = 2.352 cm
∴ Height of Cylinder is 2.352 cm.
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