Question

surface area ofa sphere and cube are equal then find ratio of their volumes ​

Answer 1

surface area of sphere =surface area of cube

4πr^2=6a^2

r^2/a^2=6/4π

r/a=√6/4π

volume of spare sphere/ volume of cube= 4/3πr^3 /a^3

4/3π(r/a)^3

4/3π(√6/4π)^3

4/3π(6/4π×√6/4π)

2(√6×7/4×22)

√4×6×7/4×22

ratio=√21/11

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