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Ad libitum [116K]
3 years ago
6

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

Mathematics
1 answer:
Anna11 [10]3 years ago
8 0

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 = \sqrt{16} : \sqrt{9} = 4 : 3

volume ratio = 4³ : 3³ = 64 : 27

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