28. A solid metallic sphere of diameter 28cm. is melted and recast
into a number of smaller cones each of diameter 7cm and
height 3cm Find the number of cones so formed.
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Answer: 672 cones
Diameter of solid metallic sphere = 28 cm
Radius of solid metallic sphere = 28/2 = 14 cm
To find the volume of the sphere = 4/3πr³
= 4/3*22/7*14*14*14 = volume of sphere = 11498.66 cu cm
diameter of cone = 14/3 cm Radius of cone = 14/3 ÷ 2
Radius of cone = 7/3
Volume of the cone = 1/3πr²h
= 1/3*22/7*7/3*7/3*3 = Volume of cone = 17.11
Cones = 11498.66/17.11 = 672 cones
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