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


a=1 m  D2=a2+a2+a2=3a2 D=a 3=1 3=3 m1.7321 m  r=D/2=1.7321/20.866 m  S=4π r2=4 3.1416 0.8662=9.4248 m2

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