Final answer:
The total cost to dig both the cuboidal and cylindrical wells at the rate of Rs. 500 per cubic meter is Rs. 6,250. However, this cost does not match any of the provided options, hinting at a potentially incorrect set of options.
Step-by-step explanation:
To find the total cost to dig both wells, we need to calculate the volume of each shape and then multiply by the digging rate.
For the cuboidal well:
- Volume = length × width × depth = 1m × 1m × 7m = 7 cubic meters.
For the cylindrical well:
- Volume = π × (radius²) × depth
- Given the diameter is 1 meter, the radius is 0.5 meters.
- Volume = π × (0.5m)² × 7m ≈ 5.5 cubic meters (after rounding to two decimal places).
Total volume = Volume of cuboid + Volume of cylinder = 7m³ + 5.5m³ = 12.5 cubic meters.
Cost per cubic meter = Rs. 500.
Total cost = Total volume × Cost per cubic meter = 12.5 m³ × Rs. 500/m³ = Rs. 6,250.
However, the option closest to our calculated cost is not provided in the options, indicating a possibility of an error in the question's options or its details. Please double-check the question parameters.