CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard

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Question 15 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

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.

 

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

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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 × Volume of 1 Sphere 𝜋 × (Radius Cylinder)2 × Height of Cylinder = 12 × 4/3𝜋 × (Radius of Sphere)3 𝜋 × 1 × 16 = 12 × 4/3 𝜋 × (Radius of Sphere)3 (16𝜋 )/16𝜋 = (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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo