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

User Dearsina
by
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1 Answer

5 votes

Answer:

64 : 27

Explanation:

If linear ratio is a : b , then

area ratio = a² : b²

volume ratio = a³ : b³

Given area ratio = 16 : 9 , then

linear ratio =
√(16) :
√(9) = 4 : 3

volume ratio = 4³ : 3³ = 64 : 27

User Kouak
by
6.0k points