a metallic disc in the shapeof a right circular cylinder, is of height 2.5 mm and base radius 12cm.metallic disc is melted and made into a sphere.calaculate the radius of the sphere
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volume of cylinder = pi R^2 h
And that of sphere is 4/3 X pi X r^3
Given R = 12 cm, h = 2.5 mm or 0.25 cm
Equate 4/3 X pi X r^3 = pi R^2 h
Cancel pi on both sides
So required r^3 = 3/4 * R^2 h = 3/4 X 122 X 0.25 = 33
Hence r = 3 cm
Radius of sphere = 3 cm
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