Question

A solid sphere of radius is 15 cm is melted and recasted into solid right circular cone of radius 2.5 and height 8cm .find the number of cones

Answer 1

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radius of sphere (r1) = 15cm
radius of cone (r2) =2.5 cm
height of cone (h) = 8cm

volume of sphere = volume of cone × n

( n = no. of cones )

4/3πr^3 = 1/3 πr^2h × n

4/3 × 22/7 × 15 ×15 ×15 = 1/3 ×22/7 × 2.5 × 2.5 × 8 × n

99000/7 = 366.66/7 × n

14142.85 = 52.38 × n

n = 14142.85/52.38

n = 270

270 cones can be prepared from that sphere

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