Question

The ratio of the volume of two sphere is 8:7 the rataio of their surface area is

Answer 1

Hey


Ratio of volumes of two spheres are :-

8 : 27


A/ q ,


4 / 3 * pie * ( r1 ) ³ / 4 / 3 * pie * ( r2 ) ³ = 8 / 27


=> ( r1 ) ³ / ( r2 ) ³ = ( 2 )³ / ( 3 ) ³


=> r1 / r2 = 2 / 3


Now ,

Ratio of their surface area :-


= 4 * pie * ( r1 ) ² / 4 * pie * ( r2 ) ²


= ( r1 ) ² / ( r2 ) ²


= ( 2 ) ² / ( 3 ) ²


= 4 / 9


= 4 : 9


thanks :)

Answer 2

Ratio of volumes of two spheres are :-

8 : 27


A/ q ,


4 / 3 * pie * ( r1 ) ³ / 4 / 3 * pie * ( r2 ) ³ = 8 / 27


=> ( r1 ) ³ / ( r2 ) ³ = ( 2 )³ / ( 3 ) ³


=> r1 / r2 = 2 / 3


Now ,

Ratio of their surface area :-


= 4 * pie * ( r1 ) ² / 4 * pie * ( r2 ) ²


= ( r1 ) ² / ( r2 ) ²


= ( 2 ) ² / ( 3 ) ²


= 4 / 9


= 4 : 9

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