Math, asked by chengzhijie905, 17 hours ago

9 metal balls with radius of 3 cm are melted down to larger metal ball form 2 larger metal ball with the same size calculate the radius

Answers

Answered by llBrainyHelperll
2

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volume of sphere is= 4/3 pi r^3

volume of metal ball of radius 8 cm = 4/3×22/7×8×8×8

volume of 8 smaller identical balls = 8×4/3×22/7×r^3

volume of bigger metals sphere ball = volume of 8 smaller balls

4/3×22/7×8×8×8 = 8×4/3×22/7×r^3

64=r^3

r=4 cm

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