Answer :



Radius (r1) of 1st sphere = 6 cm

Radius (r2) of 2nd sphere = 8 cm


Radius (r3) of 3rd sphere = 10 cm


Let the radius of the resulting sphere be r.


The object formed by recasting these spheres will be the same in volume as the sum of the volumes of these spheres.


The volume of 3 spheres = Volume of resulting sphere



[r13 + r23 + r33] = r3


[63 + 83 + 103] = r3


r3 = 216 + 512 + 1000


r3 = 1728


r = 12 cm


Hence, the radius of the resulting sphere, r = 12 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