The surface area of a solid metallic sphere is $\displaystyle 1256cm^{2}$ it is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm ; then the no. of cones cast $\displaystyle (\pi =3.14)$

Using the volume conservation method, the volume of the solid sphere equals the total volume of all the solid cones cast. The radius of the sphere is found using the surface area formula 4 * pi * r^2 = 1256, which gives r^2 = 100 and r = 10 cm. The sphere's volume is (4/3) * 3.14 * 1000 = 4186.67 cubic cm, while the volume of one cone is (1/3) * 3.14 * 2.5^2 * 8 = 52.33 cubic cm. Dividing the total sphere volume by the volume of one cone gives 4186.67 / 52.33 = 80 cones.

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