metallic spheres of radius 6 centimetres 8 centimetres and 10 centimetres respectively are melted to form a single solid sphere . find the radius of resulting sphere.
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given (1)=6cm
r(2)=8
r(3)=10cm let the resulting spheres radius to be r(4)
so volume of resulting sphere=volume of 1,2and 3
4πr(4)^3=4πr(1)^3+4πr(2)^3+4πr(3)^3
4πr(4)^3/4π=r(1)^3+r(2)^3+r(3)^3
r(4)^3=(6)^3+8^3+10^3
r(4)=cube root√216+512+1000
r(4)=cube root√1728
r(4)=12
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r(2)=8
r(3)=10cm let the resulting spheres radius to be r(4)
so volume of resulting sphere=volume of 1,2and 3
4πr(4)^3=4πr(1)^3+4πr(2)^3+4πr(3)^3
4πr(4)^3/4π=r(1)^3+r(2)^3+r(3)^3
r(4)^3=(6)^3+8^3+10^3
r(4)=cube root√216+512+1000
r(4)=cube root√1728
r(4)=12
ans
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