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

Last updated at Oct. 23, 2020 by Teachoo

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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