Q. 34.2( 12 Votes )
A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of the two of the balls are 1.5 cm and 2 cm respectively. Determine the diameter of the third ball.
Given that, radius of spherical ball = 3 cm
We know that, Volume of the sphere =
So, its volume, v =
The spherical ball of radius 3 cm is melted and recast into three spherical balls.
Let the radius of the third ball be r.
Then, volume of third spherical ball =
Volume of first ball =
Volume of second ball =
The volume of the original spherical ball is equal to that of the total volumes of the three balls.
⇒ r = 2.5 cm
Thus, diameter = 5 cm
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