Question

A solid metallic sphere of diameter 16 cm is melted and recasted into smaller solid cones each of radius 4cm and height 8cm.Find the no.of cones so formed.

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Answer 1

Let the no. of cones be n

w.k.t

n =  volume of sphere / volume of cones

n =  4/3πr³ /1/3πr²h

n =  4/3*22/7*8*8*8 / 1/3*22/7*4*4*8

n =  45056/21 / 2816/21

n = 45056/21 * 21/2816

n =  16

16 CONES ARE FORMED

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Answer 2

RADIUS OF SPHERE = R = 8 cm

r = 4cm

h = 8cm

NO. OF CONES FORMED = VOL. OF SPHERE / VOL. OF CONE

4/3πR³/1/3πr²h

4R³/r²h

4*8*8*8/2*2*8

⇒64 = NO. OF CONES FORMED

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