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Home Aptitude Volume and Surface Area Comments

  • Question
  • The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is


  • Options
  • A. 27:20
  • B. 20:27
  • C. 4:9
  • D. 9:4

  • Correct Answer
  • 20:27 

  • Tags: Bank Exams

    Volume and Surface Area problems


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    • 1. Two chords AB and CD of a circle with centre O intersect at P. If ?APC = 40°. Then the value of ?AOC + ?BOD is

    • Options
    • A. 50°
    • B. 60°
    • C. 80°
    • D. 120°
    • Discuss
    • 2. The whole surface area of a pyramid whose base is a regular polygon is 340 cm2 and area of its base is 100 cm2 . Area of each lateral face is 30 cm2. Then the number of lateral faces is

    • Options
    • A. 8
    • B. 9
    • C. 7
    • D. 10
    • Discuss
    • 3. 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
    • 4. 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
    • 5. 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
    • 6. Three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. The edge of the new cube formed is

    • Options
    • A. 12 cm
    • B. 14 cm
    • C. 16 cm
    • D. 18 cm
    • Discuss
    • 7. The radius of a wire is decreased to one-third. If volume remains the same, length will increase by

    • Options
    • A. 1.5 times
    • B. 3 times
    • C. 6 times
    • D. 9 times
    • Discuss
    • 8. The height and the total surface area of a right circular cylinder are 4 cm and 8? sq.cm. respectively. The radius of the base of cylinder is

    • Options
    • A. (2?2 - 2) cm
    • B. (2 - ?2) cm
    • C. 2 cm
    • D. ?2 cm
    • Discuss
    • 9. The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : ?5 = 2.23 and ? = 22/7 ]

    • Options
    • A. 1.42 litres
    • B. 1.53 litres
    • C. 1.71 litres
    • D. 1.82 litres
    • Discuss
    • 10. A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

    • Options
    • A. 3:1
    • B. 1:3
    • C. 7:3
    • D. 3:7
    • Discuss


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