a sphere is inscribed in a cube with an edge of 10 . what is the shortest possible distance from one of the vertices of the cube to the surface of the sphere ?
as sphere is inscribed in cube then = > the edge of the cube equals to the diameter of a sphere - - > diameter = 10 diagonal of a cube equals to diagonal = square _ root ( 10 ^ 2 + 10 ^ 2 + 10 ^ 2 ) = 10 √ 3 . half of diagonal - diameter is gap between the vertex of a cube and the surface of the sphere = ( 10 √ 3 - 10 ) / 2 = 5 ( √ 3 - 1 ) answer : d
divide(subtract(multiply(10, sqrt(const_3)), 10), const_2)