Diameter of sphere (d) = 120mm
Radius of sphere (r) = d/2 = 120/2 = 60mm
Volume of sphere = (4/3)πr^3 = (4/3)π× 60^3
= 904778.6842
Length of the base of Rectangular prism (l) = 95mm
Width of the base of Rectangular prism (w) = 85mm
Let x is the height of Rectangular prism.
Because sphere is melted and then casted into a right rectangular prism. So,
Volume of sphere = Volume of Rectangular prism
(4/3)πr^3 = lwh
904778.6842 = 95×85×h
8075h = 904778.6842
h = 904778.6842/8075
h = 112.046mm
Height of Rectangular prism = 112.046mm