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Last updated at July 17, 2019 by Teachoo
Transcript
Ex 13.3, 1 A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder. Since sphere is melted into a cylinder , So, Volume of sphere = volume of cylinder Volume of sphere Radius = r = 4.2 cm volume of sphere = 4/3 ๐๐3 = 4/3 ๐(4.2)3 Volume of cylinder Radius = r = 6 cm Let height = h cm Volume of cylinder = ๐๐2โ = ๐ร6^2รโ = 36๐h Now, Volume of sphere = Volume of cylinder 4/3 ๐(4.2)3= 36๐h 4/3 ๐(4.2)3ร1/36๐ = h h = 4/3 ๐(4.2)3ร1/36๐ h = 4/3ร(4.2)3ร1/36 h = 4/3ร4.2ร4.2ร4.2ร1/36 h = (4.2 ร 4.2 ร 4.2)/27 h = (4.2 ร 4.2 ร 4.2)/(3 ร 3 ร 3) h = 1.4 ร 1.4 ร 1.4 h = 2.744 cm Hence, height of cylinder = 2.744 cm
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