There is a square field of area ?X? square meters. A cylindrical ditch of radius

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There is a square field of area ?X? square meters. A cylindrical ditch of radius 7 meters and depth 2 meters is dug, and the earth is taken out and spread over the remaining part of the square field, the height of square field which goes up by 0.77 meters. What is the value of ?X? ?
Options
A. 548 sq. m
B. 524 sq. m
C. 518 sq. m
D. 554 sq. m

Correct Answer

554 sq. m

Explanation

Volume of the cylindrical ditch = ?rxrh = 22/7 ×7×7×2 = 308 sq.m

Area of remaining field = (X ??rxr) sq.m

= (X ? 154)

ATQ ?

(X ? 154) ×0.77 = 308

(X ? 154) = 400

X= 554 sq.m

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