Answer to Question #41398 in Integral Calculus for DEEPU SINGH

Question

Show that the open sphere S with centre at (3,1,4) and radius 5 in R3 is contained in the open cube
P1={(x,y,z) : |x-3|<5 , |y-1|<5 , |z-4|<5} and P1 is contained in the sphere with centre (3,1,4) and radius 8.66 .