# A solid metallic sphere of radius 12cm is melted and recast into a number of small cones ,each of radius 4cm and height 3cm. find the number of cones so formed.

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by prachi4

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by prachi4

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Volume of sphere=4/3πr ³⇒4/3.22/7.12.12.12 = 7233.6 cm cube

volume of cone = 1/3πr²h⇒50.2

let'x' be the no. of cones

volume of X no.of cones = volume of sphere

50.2 × X = 7233.6

X = 7233.6/50.2

=144.0

so we can make 144 cones with given sphere

volume of cone = 1/3πr²h⇒50.2

let'x' be the no. of cones

volume of X no.of cones = volume of sphere

50.2 × X = 7233.6

X = 7233.6/50.2

=144.0

so we can make 144 cones with given sphere

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

volume of sphere = (4/3)πR³ = (4/3)π×(12)³ = 2304π cm³

volume of one cone = (1/3)πr²h = (1/3)π×(4)²×3 = 16π cm³

∵volume of sphere = n× volume of one cone