Question

The ratio of the radii of two spheres is 3:5. What is the ratio of their:

a)Surface Area:
b)Volumes:

Answer 1

`(Area_1)/(Area_2) = \bigg( (Length_1)/(Length_2) \bigg)^2`


`(Area_1)/(Area_2) = \bigg( (3)/(5) \bigg)^2`


`(Area_1)/(Area_2) = (9)/(25)`

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Answer: The ratio of area = 9 : 25
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`(Volume_1)/(Volume_2) = \bigg( (Length_1)/(Length_2) \bigg)^3`


`(Volume_1)/(Volume_2) = \bigg( (3)/(5) \bigg)^3`


`(Volume_1)/(Volume_2) = (27)/(125)`

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Answer: The ratio for the volume = 27 : 125
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