Question

Metal casting is a modern process in this process metal shapes are found by pouring liquid metal into a mould where it is cold and extracted letter from the mould a solid metallic sphere of radius 8 cm is melted and recast into 8 equal solid spherical balls determine the diameter of the balls

Answer 1

Diameter of balls  = 8 cm if  a solid metallic sphere of radius 8 cm is melted and recast into 8 equal solid spherical balls

Step-by-step explanation:

a solid metallic sphere of radius 8 cm

Volume of Sphere = (4/3)π (Radius)³

Radius = 8 cm

Volume = (4/3)π (8)³  cm³

Let say diameter of spherical ball = d cm

radius  = d/2  cm

Volume of 1 Ball = (4/3)π (d/2)³  

=  (4/3)π d³/8

Volume of 8 Balls = 8 * (4/3)π d³/8

=  (4/3)π d³

(4/3)π d³ =  (4/3)π (8)³

=> d³ =  (8)³

=> d = 8

Diameter of balls  = 8 cm

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