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  1. 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 squarem)is
    1. 3,500
    2. 3,850
    3. 2,450
    4. 4,250
Correct Option: B

Diagonal of cubical room = 35√3metre
∴ 3 × edge = 35√3
⇒ Edge = 35 metre
→ Diameter of sphere = 35 metre
⇒ Surface area of the sphere = 4πr²

= 4 ×
22
×
35 × 35
= 3850 sq.metre
74



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