if surface area of 2 spheres are in ratio 4 : 9, then the ratio of their volume is
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Let r and R are two radius of a spheres.
According to the question,
⇒ 4πR24πr2=94
⇒ R2r2=64
Taking square root on both sides.
⇒ Rr=32 ---- ( 1 )
The volume of two spheres are in ratio,
⇒ 34πR334πr3
⇒ R3r3
From ( 1 ),
⇒ (3)3(2)3
⇒ 278
∴ The required ratio is 8:27
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