- #1

- 41

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Suppose a sphere is colored in two colors: 10% of the surface is white, and the remaining part is black. Prove that there is a cube inscribed in the sphere such that all vertices are black

thanks

~matt

- Thread starter msmith12
- Start date

- #1

- 41

- 0

Suppose a sphere is colored in two colors: 10% of the surface is white, and the remaining part is black. Prove that there is a cube inscribed in the sphere such that all vertices are black

thanks

~matt

- #2

- 231

- 1

If the surface area painted in white is 10% then length of the arc with the same radius that of the circle is also 10% of the circle circumference. Now you can get the angle intended by the arc at center. Now calculate the diameter of the projected circle.

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