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  • Question
  • A cylindrical vessel of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone? (Take ? = 22/7)


  • Options
  • A. 6.67 cm
  • B. 2.22 cm
  • C. 3.33 cm
  • D. 1.67 cm

  • Correct Answer
  • 6.67 cm 

  • Tags: Bank Exams

    Area problems


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    • 1. What is the measure of central angle of the arc whose length is 11 cm and radius of the circle is 14 cm?

    • Options
    • A. 45°
    • B. 60°
    • C. 75°
    • D. 90°
    • Discuss
    • 2. Find the radius of the circle if the area of its sector is 30.8 sq cm whose corresponding central angle is 72°?

    • Options
    • A. 3.5 cm
    • B. 7 cm
    • C. 14 cm
    • D. 10.5 cm
    • Discuss
    • 3. A rectangular swimming pool of length 20 m and breadth 10 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool? (Take ? = 22/7)

    • Options
    • A. 800 cubic metres
    • B. 300 cubic metres
    • C. 480 cubic metres
    • D. 400 cubic metres
    • Discuss
    • 4. ABCD is a kite where m?A is 90° and m?C is 60°. If length of AB is 6 cm, what is the length of diagonal AC?

    • Options
    • A. 6(?2+?3) cm
    • B. 2(?3+?6) cm
    • C. 2(?2+?3) cm
    • D. 3(?2+?6) cm
    • Discuss
    • 5. The area of an equilateral triangle is 9?3 sq cm, find its perimeter?

    • Options
    • A. 18 cm
    • B. 9 cm
    • C. 9?3 cm
    • D. 6?3 cm
    • Discuss
    • 6. Point P is the midpoint of segment AB. Co-ordinates of point P are (2,1) and point A are (11,5). Co-ordinates of point B are

    • Options
    • A. (-7,-3)
    • B. (6.5,3)
    • C. (7,3)
    • D. (-6.5,-3)
    • Discuss
    • 7. In ? ABC, the median AD is 6 cm and CB is 12 cm, measure of angle CAB is

    • Options
    • A. 90°
    • B. 30°
    • C. 60°
    • D. 120°
    • Discuss
    • 8. If the sum of the measures of all the interior angles of polygon is 2340°. What is the number of sides of the polygon?

    • Options
    • A. 13
    • B. 15
    • C. 17
    • D. 11
    • Discuss
    • 9. ?PQR is right angled at Q. QS is the altitude. PQ is 2?13 cm and PS is 8 cm. What is the length of SR?

    • Options
    • A. 6?13 cm
    • B. 4?13 cm
    • C. 18 cm
    • D. 9 cm
    • Discuss
    • 10. If a cylinder of radius 4.3 cm and height 4.8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone? (Use ? = 22/7)

    • Options
    • A. 28.8 cm
    • B. 14.4 cm
    • C. 7.2 cm
    • D. 21.6 cm
    • Discuss


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