The length of the radius of the sphere is 9.26 inches.
A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is denoted by the letter r, and the specified point represents its center.
Volume of cube=343 cubic inches
Side of cube=[tex]\sqrt[3]{343}[/tex] = 7 inches
The radius of the sphere is equal to half the diagonal length of the cube since the cube is inscribed inside the sphere, whose diameter is the cube's diagonal length. Utilizing the distance formula, we can determine the cube's diagonal length.
[tex]d=\sqrt{7^{2}+7^{2}+7^{2} } \\=\sqrt{7*7^{2} } \\=7\sqrt{7}[/tex]
To determine the radius of the sphere, divide the value by two.
Radius of sphere=[tex]\frac{7\sqrt{7} }{2}[/tex] = 9.26 inches
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