Q. 24.4( 198 Votes )

Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

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.
Related Videos
Surface Area and VolumesSurface Area and VolumesSurface Area and Volumes43 mins
Quiz | Surface Area and VolumesQuiz | Surface Area and VolumesQuiz | Surface Area and Volumes42 mins
Surface Area and VolumeSurface Area and VolumeSurface Area and Volume49 mins
Areas Related to CircleAreas Related to CircleAreas Related to Circle36 mins
Quiz | Areas Related to CirclesQuiz | Areas Related to CirclesQuiz | Areas Related to Circles43 mins
Idioms and PhrasesIdioms and PhrasesIdioms and Phrases43 mins
Goprep Genius Quiz  | Analogy and ClassificationGoprep Genius Quiz  | Analogy and ClassificationGoprep Genius Quiz | Analogy and Classification48 mins
Acid - Types and NomenclatureAcid - Types and NomenclatureAcid - Types and Nomenclature52 mins
Consistent and Inconsistent EquationsConsistent and Inconsistent EquationsConsistent and Inconsistent Equations33 mins
Verb & TensesVerb & TensesVerb & Tenses46 mins
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