Math, asked by MissRude, 1 year ago

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please answer the question which is in the given attachment....

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Answered by palak0485
1

Answer:

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Answered by Anonymous
15

Answer:

Hi Riya, I am glad to help you.

(i) Volume of 27 solid sphere, each of radius, r = 27 x 4/3πr3 = 36πr3

According to statement,

Volume of sphere of radius r' = Volume of 27 solid spheres

⇒  4/3π(r'3) = 36πr3

⇒   (r')3  = 27r3 = (3r)3 ⇒  r' = 3r

(ii) We have,

S' = 4πr'2 = 4π(3r)2 = 36πr2

∴    S/S' =  4πr2 /36πr2 = 1/9

⇒ S : S' = 1 : 9

So Radius r' of the new sphere is 3r

And Ratio of S and S' is 1:9.

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