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Home Aptitude Volume and Surface Area Comments

  • Question
  • A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is


  • Options
  • A. 5?5 cm
  • B. 5?3 cm
  • C. 5?15 cm
  • D. 5?10 cm

  • Correct Answer
  • 5?15 cm 

  • Tags: Bank Exams

    Volume and Surface Area problems


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    • 1. Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is

    • Options
    • A. 7 cm
    • B. 9 cm
    • C. 10 cm
    • D. 8 cm
    • Discuss
    • 2. A point P lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its

    • Options
    • A. Centroid
    • B. Incentre
    • C. Orthocentre
    • D. Circumcentre
    • Discuss
    • 3. G and AD are respectively the centroid and median of the triangle ?ABC.The ratio AG:AD is

    • Options
    • A. 3:2
    • B. 2:3
    • C. 3:1
    • D. 1:2
    • Discuss
    • 4. The length, breadth and height of a cuboid are in the ratio 19 : 11 : 13. If length is 30 cm more than height, then what is the volume (in cub.cm) of this cuboid?

    • Options
    • A. 81510
    • B. 89665
    • C. 195300
    • D. 339625
    • Discuss
    • 5. 40 men took a dip in a pool 30 m long and 25 m broad. If the average water displaced by a man is 5 cub.m, then what will be the rise (in cm) in level of the pool?

    • Options
    • A. 25
    • B. 26.66
    • C. 27.33
    • D. 28.5
    • Discuss
    • 6. Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area?

    • Options
    • A. 12
    • B. 14
    • C. 16
    • D. 28
    • Discuss
    • 7. In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?

    • Options
    • A. 1 : 1
    • B. 2 : 1
    • C. 3 : 1
    • D. 4 : 1
    • Discuss
    • 8. PQR is a right angled triangle in which ?R = 90°. If RS ? PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?

    • Options
    • A. 12/5
    • B. 36/5
    • C. 5
    • D. 2.5
    • Discuss
    • 9. In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ?PBR =105°, then what is the value of ?PAR (in degrees)?

    • Options
    • A. 60
    • B. 100
    • C. 105
    • D. 115
    • Discuss
    • 10. If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?

    • Options
    • A. 0
    • B. 5
    • C. 4
    • D. 7
    • Discuss


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