A well having 10m inside diameter is dug 8.4 m deep. Earth taken out of it is spread all around it to a width of 7.0m to form a beautiful embankment. Find the height of the embankment. The contractor charged Rs 500 per cubic metre for digging and making the circular embankment. He measured the height of the embankment as 2m. how much extra money did he make? the concerned officer accepteed mistakes in his calculations and paid the money to him as demanded. who is guilty, the contractor or the officer? comment.
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Volume of earth = 22/7 x 5² x 8.4 = 660m³
Volume of embankment = 22/7 R²h - 22/7r²h = 660
h(22/7R² -22/7r²) = 660
h (22/7 x 12² - 22/7x5²) = 660
374h = 660
h = 1.765m
Total charge = 2x660x500 = Rs. 660000
Amount charged by contractor = 500x660 + (22/7x12²x3.765 - 22/7x5²x3.765)x500 = 330000 + 704055
= 1034055
Extra money made = 1034055 - 660000 - Rs. 374055
Volume of embankment = 22/7 R²h - 22/7r²h = 660
h(22/7R² -22/7r²) = 660
h (22/7 x 12² - 22/7x5²) = 660
374h = 660
h = 1.765m
Total charge = 2x660x500 = Rs. 660000
Amount charged by contractor = 500x660 + (22/7x12²x3.765 - 22/7x5²x3.765)x500 = 330000 + 704055
= 1034055
Extra money made = 1034055 - 660000 - Rs. 374055
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