2026 · Q58
A metallic cylindrical disc of radius 7 cm is melted and 22 square-shaped solids of the same thickness are made. If l cm is the side length of these squares, then (in cm)
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- A2.5 < l < 2.6
- B2.6 < l < 2.7
- C2.7 < l < 2.8
- D2.8 < l < 2.9
Explanation
The disc's area is π × 7² = 154 cm² (taking π = 22/7). Melting preserves area across the same thickness, so 22 squares satisfy 22l² = 154, giving l² = 7 and l = √7 ≈ 2.646 cm. This lies between 2.6 and 2.7. Hence option B is correct.