Q. 31

Metallic spheres

Answer :

r1 = 6 cm


r2 = 8 cm


r3 = 10 cm


Volume of sphere = 4/3 π r3


Volume of the resulting sphere = Sum of the volumes of the smaller spheres.


4/3 π r3 = 4/3 π r 13 + 4/3 π r23 + 4/3 π r33


4/3 π r3 = 4/3 π (r 13 + r23 + r33)


r3 = 63 + 83 + 103


r3 = 1728


r = √17283


r = 12 cm


Therefore, the radius of the resulting sphere is 12cm.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Heights and Distances-IHeights and Distances-IHeights and Distances-I45 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