arnavbhatia2006 arnavbhatia2006

25-04-2021
Mathematics

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If the surface areas of two spheres are in ratio 16:9, then their volumes will be in the ratio

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jimrgrant1 jimrgrant1

25-04-2021

Answer:

64 : 27

Step-by-step explanation:

If linear ratio is a : b , then

area ratio = a² : b²

volume ratio = a³ : b³

Given area ratio = 16 : 9 , then

linear ratio = [tex]\sqrt{16}[/tex] : [tex]\sqrt{9}[/tex] = 4 : 3

volume ratio = 4³ : 3³ = 64 : 27

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