a metallic sphere of the radius 4.2 cm is melted and recast into the shape of a cylender of radius 6 cm.find the height of the cylinder.
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given that metallic sphere is melted and recasted into cylinder
.•. vol. of cylinder = vol. of sphere
π r ^ 2 h = 4/3 π r^3 ( here Phi is cancelled on both sides)
radius of cylinder is 6cm and radius of sphere is 4.2
now
2^2 * h = 4/3 *4.2 ( here we can divide 4.2 with 3 we get 1.4 )
4* h = 4*1.4 ( on both sides 4 is cancelled)
h = 1.4 cm
Hence we can say that the height of cylinder is 1.4 cm
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.•. vol. of cylinder = vol. of sphere
π r ^ 2 h = 4/3 π r^3 ( here Phi is cancelled on both sides)
radius of cylinder is 6cm and radius of sphere is 4.2
now
2^2 * h = 4/3 *4.2 ( here we can divide 4.2 with 3 we get 1.4 )
4* h = 4*1.4 ( on both sides 4 is cancelled)
h = 1.4 cm
Hence we can say that the height of cylinder is 1.4 cm
hope it will help you plz mark as brainliest
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