Q. 23.9( 7 Votes )

# A metallic sphere of radius 5.6 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Answer :

Given.

Radius of sphere is 5.6 cm

Radius of cylinder is 6 cm

Formula used/Theory.

Volume of cylinder = πr^{2}h

Volume of sphere = πr^{3}

Volume of sphere = πr^{3}

= × π × (5.6 cm)^{3}

Volume of cylinder = πr^{2}h

= π × (6 cm)^{2} × h

When a metallic sphere is recast in shape of cylinder

Volume of both sphere and cylinder will be equal

∴ comparing both we get height of cylinder

π × (6 cm)^{2} × h = × π × (5.6 cm)^{3}

h =

h = 6.5 cm

∴ Height of cylinder is 6.5 cm

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