Question

if
the sphere and a cube have the same surface area find the ratio of the volume of the sphere to that of the cube.

Answer 1

surface area of cube =surface ar of sphere
$6 {a}^{2} = 4\pi {r}^{2} \\ a {}^{2} \div {r}^{2} = (4\pi \div 6)$
Now ratio of volumes
$((4 \div 3)(\pi {r}^{3} )) \div {a}^{3}$
put a =r√(4π/6)

Answer 2

Hey mate.
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The answer is in the pic.

Hope this helps !!!!!