Math, asked by rachnapatel, 10 months ago

the volume of two spherical balls are 2744 cm³ and 343 cm³ respectively. what is the ratio of their radii?

Answers

Answered by ShubhGandhi2903
9
Volume of of first sphere = 4/3πR³ = 2744 cm³

Volume of second sphere = 4/3πr³ = 343 cm³

Ratio = Volume of first sphere / Volume of second sphere.

Ratio = 4/3 πR³ / 4/3 πr³ = 2744 / 343

Ratio = R³ / r³ = 2744 / 343

R³ / r³ = (14)³ / (7)³

R / r = 14 / 7

R / r = 2 / 1

R : r = 2 : 1

Thus the ratio of their radii is 2 : 1

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