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

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

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

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
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.