Sphere area

A cube with edge 1 m long is circumscribed sphere (vertices of the cube lies on the surface of a sphere). Determine the surface area of the sphere.

Correct result:

S =  9.4248 m2

Solution:

a=1 D=a⋅ 3=1⋅ 3=3≐1.7321 r=D/2=1.7321/2≐0.866 S=4π⋅ r2=4⋅ 3.1416⋅ 0.8662=9.4248 m2

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