Experts Please Help. Thank you!

Question

a). Find an equation of the sphere that is inscribed in the cube that is centered at the point (-6,7,1) and has sides of length 13 that are parallel to the coordinates planes.

Equation:?

b). Find an equation of the sphere that is circumscribed about the cube in part (a).

Equation:?

Please give both answers of a and b. Appreciated!

Answer 1

a) (x+6)²+(y-7)²+(z-1)²=13²

b) (X+6)²+(y-7)²+(z-1)²= {✓(13²+13²)/2}