Let be the surface area of 1st sphere and 2nd sphere are 1x and 2x respectively. Then, According to the area of sphere we have, 4πr²=1x. ...(i) And, Similarly, 4πR²=2x ....(ii) From (i) and (ii) equation, (r/R)²=1/2 Hence, R=√2r ....(iii) Now the volume of 1st sphere is 4/3πr³ ....(iv) And, Volume of 2nd sphere is 4/3π(R)³ .....(v) Now put the value of R from (iii) in (v) such that, 4/3π(√2r)³ =4/3π2√2³ = 8√2/3πr³ ....(vi) Now from iv and vi we conclude the ratio of the volumes of given spheres, =1:2√2

3Thank You

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