12 solid spheres of the same radii are made by melting a solid metallic cylinder of base diameter 2cm and height 16cm. Find the diameter of the each sphere.

 

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  1. Class 10
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Transcript

Question 15 12 solid spheres of the same radii are made by melting a solid metallic cylinder of base diameter 2cm and height 16cm. Find the diameter of the each sphere. Now, Volume of Cylinder = Volume of 12 spheres Volume of Cylinder = 12 ร— Volume of 1 Sphere ๐œ‹ ร— (Radius Cylinder)2 ร— Height of Cylinder = 12 ร— 4/3๐œ‹ ร— (Radius of Sphere)3 ๐œ‹ ร— 1 ร— 16 = 12 ร— 4/3 ๐œ‹ ร— (Radius of Sphere)3 (16๐œ‹ )/16๐œ‹ = (Radius of Sphere)3 1 = (Radius of Sphere)3 (Radius of Sphere)3 = 1 Radius of Sphere = 1 cm Thus, Diameter of Sphere = 2 cm

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.