A 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. 26,500 m3
C. 27,000 m3
D. 27,500 m3
Answer: Option D
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Volume of cone=3.4 * h *(R*R)+(r*r)+(R*r) *(1/3)
=3.4 * 1*(1000*1000)+(500*500)+(1000*500)*(1/3)
=27,500 m3