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There is a square field of area ‘X’ square meters. A cylindrical ditch of radius 7 meters and depth 2 meters is dug, and the earth is taken out and spread over the remaining part of the square field, the height of square field which goes up by 0.77 meters. What is the value of ‘X’ ?
548 m²
524 m²
518 m²
554 m²
504 m²
Let’s break it down:
- Area of square field = X m²
- Cylindrical ditch volume = p × (7)² × 2 = 22/7 × 49 × 2 = 308 m³
- This earth is spread over the remaining area of the field (X - base area of ditch), raising it by 0.77 m
- Volume of earth covering = (X - p × 7²) × 0.77
- Set equal to earth removed: (X - 154) × 0.77 = 308
- X - 154 = 308 / 0.77 = 400
- X = 400 + 154 = 554 m²
Correct Option:
- Option 4: 554 m²
By: Parvesh Mehta ProfileResourcesReport error
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