The length of the largest possible rod that can be placed in a cubical room is 35√3 m. The surface area of the largest possible sphere that fit within the cubical room (assuming π=22\7) (In sq. m) is

Explanation:

Diagonal =35√3

∴ The length of largest rod

=Diagonal=side√3

Side√3=35√3

side=35√3\√3=35

side of cube = 35

Diameter of the sphere = side of the cube

2×radius=side

radius=35\2cm

Surface area of the sphere = 4πr^2

=4×22\7×35\2×35\2

=3850m^2