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  • Question

  • 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

    • Tags: AIEEE, Bank Exams

    Area problems

    Search Results

    • 1. A tent is to be built in the form of a cylinder of radius 10 m surmounted by a cone of the same radius. If the height of the cylindrical part is 5 m and slant height of the conical part is 15 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take ? = 22/7)

    • Options
    • A. 4714.43 sq m
    • B. 3772.14 sq m
    • C. 6783.86 sq m
    • D. 2451.42 sq m
      • Discuss
    • 2. ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?

    • Options
    • A. ? (rxr)
    • B. 2r
    • C. (r + 2)
    • D. ? (rxr)/2
      • Discuss
    • 3. Find the perimeter (in cm) of a semicircle of radius 28 cm.

    • Options
    • A. 288
    • B. 144
    • C. 121
    • D. 242
      • Discuss
    • 4. The area and the length of one of the diagonals of a rhombus is 84 cm² and 7 cm respectively. Find the length of its other diagonal (in cm).

    • Options
    • A. 12
    • B. 24
    • C. 48
    • D. 36
      • Discuss
    • 5. The circumferences of two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter(in cm) of the other circle.

    • Options
    • A. 12
    • B. 10
    • C. 8
    • D. 5
      • Discuss
    • 6. If a cylinder of radius 4 cm and height 8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

    • Options
    • A. 48 cm
    • B. 24 cm
    • C. 36 cm
    • D. 12 cm
      • Discuss
    • 7. What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?

    • Options
    • A. 22 cm
    • B. 16.5 cm
    • C. 11 cm
    • D. 28 cm
      • Discuss
    • 8. Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?

    • Options
    • A. 118
    • B. 110
    • C. 138
    • D. 128
      • Discuss
    • 9. What is the slope of the line parallel to the line passing through the points (4,-2) and (-3,5)?

    • Options
    • A. 3/7
    • B. 1
    • C. -3/7
    • D. -1
      • Discuss
    • 10. Find the volume (in cm3) of a right circular cylinder of diameter 21 cm and height 10 cm.

    • Options
    • A. 3118
    • B. 3275
    • C. 3621
    • D. 3465
      • Discuss

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