. A metallic sphere of radius 4.2 cm is melted and recast into the shape
shape of a cylinder of radius 6 cm. Find the height of the cylinder.
Best Answer
Explanation:-
As a metallic sphere is melted and recast into the shape of a cylinder, their volume must be the same.
Volume of the sphere = Volume of the cylinder
Now find the volume of sphere
Volume of the sphere =4/3 πr3
where r is the radius of the sphere
Volume of the cylinder = πr2h
where r and h are radius and height of the cylinder respectively
Radius of the sphere r1 =4.2cm,
Radius of the cylinder r2 =6cm
height of the cylinder be h.
Volume of sphere = Volume of cylinder
Final Answer:-
Hence, the height of the cylinder so formed will be 2.744 cm.
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