A house plot is the form of rectangle of length 20m and width 14m. A 10 m deep well of diameter of 7 m m is dug in a North East corner of the in a northeast corner of the plot and earth Tekken out of the well played evenly over the remaining part of the field
•what is the volume of the earth dug?
Answers
Given : A house plot is the form of rectangle of length 20m and width 14m. A 10 m deep well of diameter of 7 m m is dug in a North East corner of the in a northeast corner of the plot and earth Taken out of the well played evenly over the remaining part of the field
To Find : the volume of the earth dug
Height of Earth spread on remaining field
Solution:
Well Diamter = 7 m
Radius r = 7/2 m
Depth = 10 m
Volume = πr²h
= (22/7)(7/2)² * 10
= 11 * 7 * 5
= 385 m³
Plot area = 20 * 14 = 280 m²
remaining area = plot area - well area
well area = πr² = (22/7) (7/2)² = 77/2 = 38.5 m²
remaining area = 280 - 38.5 = 241.5 m²
height increase in remaining area = h
Hence 241.5 * h = Volume of earth dug
=> 241.5 * h = 385
=> h = 1.594 m
Height of level = 1.594 m
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Answer:
1.594 m
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