The equation of the closed sphere with the center (2,3,7) and radius 10 is
(x−2)2+(y−3)2+(z−7)2=102∣x−2∣≤10,∣y−3∣≤10,∣z−7∣≤10−−10≤x−2≤10,−10≤y−3≤10,−10≤z−7≤10Therefore the closed sphere with the center (2,3,7) and radius 10 is contained in the
open cube P={(x,y,z):x−2<11,y−3<11,z−7<11}.
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