A metallic sphere of radius 3 cm is melted and recast into the shape of a cylinder of radius 2cm the height of the cylinder is
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Given information :
A metallic sphere of radius 3 cm is melted and recast into a cylinder of radius 6cm.
During this , the Volume is same.
Therefore , The volume of sphere = Volume of Cylinder.
Volume of sphere :
where, r =radius of the sphere.
Volume of cylinder :
where, r = radius of cylinder and h = height of the cylinder
As volume of the sphere is equal to the volume of the cylinder .
radius of sphere=3cm and radius of cylinder=6cm
4/3×27 = 36 × h
4×9 = 36 × h
36 = 36 ×h
h = 36/36
h= 1cm
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