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Home Aptitude Volume and Surface Area Comments

  • Question
  • How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?


  • Options
  • A. 112
  • B. 108
  • C. 116
  • D. 104

  • Correct Answer
  • 108 

  • Tags: Bank Exams

    Volume and Surface Area problems


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    • 1. In ?PQR, PS and PT are bisectors of ?QPR and ?QPS respectively. If ?QPT = 30°, PT = 9 cm and TR = 15 cm, then what is the area (in cm2) of ?PTR

    • Options
    • A. 36
    • B. 54
    • C. 72
    • D. 216
    • Discuss
    • 2. In ?PQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

    • Options
    • A. 18
    • B. 28
    • C. 32
    • D. 36
    • Discuss
    • 3. O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ?AOP = 50°, then what is the value (in degrees) of ?APB?

    • Options
    • A. 60
    • B. 80
    • C. 90
    • D. 100
    • Discuss
    • 4. The side BC of ?ABC is produced to D. If ?ACD = 114° and ?ABC= (1/2)?BAC, then what is the value (in degrees) of ?BAC?

    • Options
    • A. 36
    • B. 48
    • C. 76
    • D. 84
    • Discuss
    • 5. Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?

    • Options
    • A. 12325
    • B. 18750
    • C. 21000
    • D. 24350
    • Discuss
    • 6. The point of intersection of all the angle bisector of a triangle is ______ of the triangle.

    • Options
    • A. Incenter
    • B. Circumcenter
    • C. Centroid
    • D. Orthocenter
    • Discuss
    • 7. ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ?BPC?

    • Options
    • A. 90
    • B. 120
    • C. 135
    • D. 145
    • Discuss
    • 8. In a triangle ABC, AD is angle bisector of ?A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?

    • Options
    • A. 150
    • B. 200
    • C. 210
    • D. 240
    • Discuss
    • 9. If the radius of the cylinder is decreased by 20%, then by how much percent the height must be increased, so that the volume of the cylinder remains same?

    • Options
    • A. 20
    • B. 36.25
    • C. 56.25
    • D. 65
    • Discuss
    • 10. ?PQR has sides PQ and PR measuring 983 and 893 units respectively. How many such triangles are possible with all integral sides?

    • Options
    • A. 1876
    • B. 90
    • C. 1785
    • D. 1786
    • Discuss


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