Answer:
0.767 m
Step-by-step explanation:
The area of a cube of edge length s is given by ...
A = 6s^2
The area of a sphere of radius r is given by ...
A = 4πr^2
When these two are equal, we have ...
6s^2 = 4πr^2
r^2 = 6s^2/(4π)
r = s·√(3/(2π)) ≈ s·0.690988
The radius of the sphere is about ...
r ≈ 0.690899×1.11 m
r ≈ 0.767 m . . . . approximate sphere radius
