1.

22. A solid metallic sphere of diameter 16 cm is melted and recast into a number of smallercones each of radius 4 cm and height 8 cm. Find the number of cones so formed.

Answer»

Let the no. of cones be n

n = volume of sphere / volume of conesn = 4/3πr³ /1/3πr²hn = 4/3*22/7*8*8*8 / 1/3*22/7*4*4*8n = 45056/21 / 2816/21n = 45056/21 * 21/2816n = 1616 CONES ARE FORMED



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