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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12 solid spheres of the same radii are made by melting a solid

Question 15 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard - Part 2

  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 Γ— Volume of 1 Sphere πœ‹ Γ— (Radius Cylinder)2 Γ— Height of Cylinder = 12 Γ— 4/3πœ‹ Γ— (Radius of Sphere)3 πœ‹ Γ— 1 Γ— 16 = 12 Γ— 4/3 πœ‹ Γ— (Radius of Sphere)3 (16πœ‹ )/16π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 10 years. He provides courses for Maths and Science at Teachoo.