Answer :

Volume of a sphere = (4/3)πr3


Total volume remains same during recasting.


Given, spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls and the diameters of two balls are cm and 2 cm.


Let the diameter of the third ball be ‘a’ cm.



27/8 = (27/64) + 1 + (a3/8)


a3/8 = 125/64


a3 = 125/8


a = 5/2 cm


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A spherical ball RS Aggarwal & V Aggarwal - Mathematics

A sphere and a cuRD Sharma - Mathematics

If a solid sphereRD Sharma - Mathematics

The ratio betweenRD Sharma - Mathematics

If the surface arRD Sharma - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics