Let the radius of the sphere be R.
Surface area of a solid metallic sphere =2464 cm2
⇒4πR2=2464
⇒4×227×R2=2464⇒R2=196
⇒R=14
Radius of the sphere (R) = 14 cm
Sphere is melted and recast into solid cones.
Number of cone =Volume of the sphereVolume of the cone
=43πR313πr2h=4R3r2h
=4×14×14×143.5×3.5×7=128