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Home ‣ Aptitude ‣ Volume and Surface Area Comments
  • Question

  • A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take, ?=22/7)


  • Options
  • A. 3?3 : 4
  • B. 4 : 3?3
  • C. 3 : 4?3
  • D. 1 : 12?3

  • Correct Answer
  • 3?3 : 4 

    • Tags: Bank Exams

    Volume and Surface Area problems

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    • 1. If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm then its volume is

    • Options
    • A. 1760 cm3
    • B. 8800 cm3
    • C. 2002 cm3
    • D. 4804 cm3
      • Discuss
    • 2. Slope of the line AB is 4/3. Co-ordinates of points A and B are (x , -5) and (2 , -3) respectively. What is the value of x?

    • Options
    • A. 1/2
    • B. -1/4
    • C. 4
    • D. -4
      • Discuss
    • 3. PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ?QSR = 30°, then what is the value (in degrees)of POR?

    • Options
    • A. 30
    • B. 45
    • C. 60
    • D. 90
      • Discuss
    • 4. The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area (in sq.cm) of the triangle?

    • Options
    • A. 50?5
    • B. 100
    • C. 75?7
    • D. 175
      • Discuss
    • 5. ? DEF is right angled at E. If m?F = 45°, then what is the value of 2 Sin F x Cot F?

    • Options
    • A. ?2
    • B. 2
    • C. 1/?2
    • D. 1/2
      • Discuss
    • 6. The base of a right prism is a trapezium whose the length of parallel sides are 25 cm and 11 cm and the perpendicular distance between the parallell sides in 16 cm. If the height of the prism is 10 cm, then the volume of the prism is

    • Options
    • A. 1440 cu.cm
    • B. 1540 cu.cm
    • C. 2880 cu.cm
    • D. 960 cu.cm
      • Discuss
    • 7. The external and the internal radii of a hollow right circular cylinder of height 15 cm are 6.75 cm and 5.25 cm respectively. If it is melted to form a solid cylinder of height half of the orignal cylinder, then the radius of the solid cylinder is

    • Options
    • A. 6 cm
    • B. 7.25 cm
    • C. 6.5 cm
    • D. 7 cm
      • Discuss
    • 8. The length and breadth of a rectangular piece of a land are in a ratio 5:3. The owner spent Rs. 6000 for surrounding it from all sides at Rs.7.50 per metre. The difference between its length and breadth is

    • Options
    • A. 50 metres
    • B. 100 metres
    • C. 150 metres
    • D. 250 metres
      • Discuss
    • 9. Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Then the number of sides of each polygon are

    • Options
    • A. 10, 20
    • B. 4, 8
    • C. 3, 6
    • D. 5, 10
      • Discuss
    • 10. A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

    • Options
    • A. 6 cm and 12 cm
    • B. 4 cm and 8 cm
    • C. 3 cm and 6 cm
    • D. 2 cm and 4 cm
      • Discuss

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