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  • Question

  • A cone of radius 3.5 cm and height 27 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 2.1 cm. What will be the height of water in this vessel? (Take ? = 22/7)


  • Options
  • A. 50 cm
  • B. 25 cm
  • C. 12.5 cm
  • D. 37.5 cm

  • Correct Answer
  • 25 cm 

    • Area problems

    Search Results

    • 1. In ?ABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and AE are 8 cm, 4 cm and 12 cm respectively, what is the length of AC?

    • Options
    • A. 6 cm
    • B. 18 cm
    • C. 9 cm
    • D. 15 cm
      • Discuss
    • 2. ?GHI is similar to ?KLM. If the ratio of Perimeter of ? GHI : Perimeter of ?KLM = 1:4, and length of GH is 2 cm, what is the length of the corresponding side KL?

    • Options
    • A. 4 cm
    • B. 8 cm
    • C. 32 cm
    • D. 16 cm
      • Discuss
    • 3. Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?

    • Options
    • A. 1556.33
    • B. 898.5
    • C. 1467.33
    • D. 1306.67
      • Discuss
    • 4. In the given figure, O is the centre of the circle and QOR = 50 deg, then what is the value of RPQ (in deg)?

    • Options
    • A. 15
    • B. 20
    • C. 25
    • D. 30
      • Discuss
    • 5. In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in sq.cm) of triangle SQU?

    • Options
    • A. 162√3
    • B. 216√3
    • C. 108√3
    • D. 54√3
      • Discuss
    • 6. A missile travels at 1278 km/h. How many metres does it travel in one second?

    • Options
    • A. 355 metres
    • B. 358 metres
    • C. 345 metres
    • D. 313 metres
      • Discuss
    • 7. The areas of a circle and square are equal. What is the square of the ratio of length of diameter to the length of diagonal?

    • Options
    • A. 11/7
    • B. 7/9
    • C. 7/11
    • D. 9/7
      • Discuss
    • 8. What is the measure of the central angle of the sector whose area is 462 sq cm and radius of the circle is 21 cm?

    • Options
    • A. 90°
    • B. 60°
    • C. 30°
    • D. 120°
      • Discuss
    • 9. The crosssection of a canal is in the shape of an isosceles trapezium which is 3 m wide at the bottom and 5 m wide at the top. If the depth of the canal is 2 m and it is 110 m long, what is the maximum capacity of this canal? (Take ? = 22/7)

    • Options
    • A. 1760 cubic metres
    • B. 1650 cubic metres
    • C. 1056 cubic metres
    • D. 880 cubic metres
      • Discuss
    • 10. In the given figure, OX, OY and OZ are perpendicular bisectors of the three sides of the triangle. If QPR = 65 deg and PQR = 60 deg, then what is the value (in deg) of QOR + POR?

    • Options
    • A. 250
    • B. 180
    • C. 210
    • D. 125
      • Discuss

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