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let radius of small sphere = r
and radius of big sphere = R
a/c to question,
volume of big sphere = 27× volume of small sphere
4/3 π R³ = 27 × 4/3 π × r³
R³ = 27r³ = (3r)³
R = 3r
R/r = 3/1
R : r = 3 :1
(2) ratio of surface area = 4πR²/4πr²
R²/r² = (3/1)² = 9/1
9 : 1
and radius of big sphere = R
a/c to question,
volume of big sphere = 27× volume of small sphere
4/3 π R³ = 27 × 4/3 π × r³
R³ = 27r³ = (3r)³
R = 3r
R/r = 3/1
R : r = 3 :1
(2) ratio of surface area = 4πR²/4πr²
R²/r² = (3/1)² = 9/1
9 : 1
Chandransh:
Thx
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