Question

metallic sphere of radii 6cm 8cm and 10 cm respectively are melted to form a single solid sphere find the radius of the resulting sphere​

Answer 1

Answer:

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Answer 2

Radii of one sphere(R1)=6 cm
Radii of other sphere(R2)=8 cm
Radii of third sphere(R3)=10 cm
Let the radius of single solid sphere be r
Volume of 3 metallic spheres=Volume of single solid sphere
4/3*pie*((R1)^3+(R2)^3+(R3)^3)=4/3*pie*r^3
((6)^3+(8)^3+(10)^3)=r^3 (The 4/3 pie from the LHS and RHS gets cancelled)
r^3=216+512+1000
r^3=1728
r=12 cm
So the radius of the resulting sphere is 12 cm

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