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Portion of an embankment having a uniform up-gradient 1 in 500 is circular with radius 1000 m of the centre line. It subtends 180° at the centre. If the height of the bank is 1 m at the lower end, and side slopes 2:1, the earth work involved
  • a)
    26, 000 m3
  • b)
    27, 500 m3
  • c)
    27, 000 m3
  • d)
     26, 500 m3 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Portion of an embankment having a uniform up-gradient 1 in 500 is circ...
slope top radius is 500m, and we have bottom radius is 1000m.
Volume of truncated cone is 3.14*h*((R*R) + (r*r) +(R*r))*(1/3).
= 3.14*1**((1000*1000) + (500*500) + (1000*500))*(1/3).
= 27500 m3
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Most Upvoted Answer
Portion of an embankment having a uniform up-gradient 1 in 500 is circ...
Degrees at the center of the circle. To find the height of the embankment at the highest point, we can use the formula:

h = (r^2/2G)

where h is the height of the embankment, r is the radius of the circle, and G is the up-gradient of the embankment.

Substituting the given values, we get:

h = (1000^2/2 x 1/500) = 1000 meters

Therefore, the height of the embankment at the highest point is 1000 meters.
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Portion of an embankment having a uniform up-gradient 1 in 500 is circular with radius 1000 m of the centre line. It subtends 180° at the centre. If the height of the bank is 1 m at the lower end, and side slopes 2:1, the earth work involveda)26, 000 m3b)27, 500 m3c)27, 000 m3d)26, 500 m3Correct answer is option 'B'. Can you explain this answer?
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Portion of an embankment having a uniform up-gradient 1 in 500 is circular with radius 1000 m of the centre line. It subtends 180° at the centre. If the height of the bank is 1 m at the lower end, and side slopes 2:1, the earth work involveda)26, 000 m3b)27, 500 m3c)27, 000 m3d)26, 500 m3Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Portion of an embankment having a uniform up-gradient 1 in 500 is circular with radius 1000 m of the centre line. It subtends 180° at the centre. If the height of the bank is 1 m at the lower end, and side slopes 2:1, the earth work involveda)26, 000 m3b)27, 500 m3c)27, 000 m3d)26, 500 m3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Portion of an embankment having a uniform up-gradient 1 in 500 is circular with radius 1000 m of the centre line. It subtends 180° at the centre. If the height of the bank is 1 m at the lower end, and side slopes 2:1, the earth work involveda)26, 000 m3b)27, 500 m3c)27, 000 m3d)26, 500 m3Correct answer is option 'B'. Can you explain this answer?.
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