A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of the two balls are 1.5 cm and 2 cm respectively. Determine the diameter of the third ball

Asked by shobhit_dc | 27th Jan, 2011, 01:17: PM

Expert Answer:

Dear student,
It is known that the volume of a sphere is given by
So, the volume of the original spherical ball =
The spherical ball of radius 3 cm is melted and recasted into three spherical balls. So, the volume of the original spherical ball is equal to the total volumes of the three balls.
Let the radius of the third ball be r.
Thus, the diameter of the third ball is 5 cm.
We hope that clarifies your query.
Regards,
Team
TopperLearning

Answered by  | 27th Jan, 2011, 10:11: PM

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