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Home Aptitude Volume and Surface Area Comments

  • Question
  • A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:


  • Options
  • A. 12Π cm3
  • B. 15Π cm3
  • C. 16Π cm3
  • D. 20Π cm3

  • Correct Answer
  • 12Π cm3 

    Explanation
    A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volu

    Clearly, we have r = 3 cm and h = 4 cm.

    ∴ Volume = 1 Πr2h = 1 x Π x 32 x 4 ❩cm3 = 12Π cm3.
    3 3

  • Volume and Surface Area problems


    Search Results


    • 1. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

    • Options
    • A. 5600
    • B. 6000
    • C. 6400
    • D. 7200
    • Discuss
    • 2. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

    • Options
    • A. 12 kg
    • B. 60 kg
    • C. 72 kg
    • D. 96 kg
    • Discuss
    • 3. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

    • Options
    • A. 49 m2
    • B. 50 m2
    • C. 53.5 m2
    • D. 55 m2
    • Discuss
    • 4. A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:

    • Options
    • A. 10
    • B. 20
    • C. 40
    • D. 73
    • Discuss
    • 5. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

    • Options
    • A. 35 years
    • B. 40 years
    • C. 50 years
    • D. None of these
    • Discuss
    • 6. The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

    • Options
    • A. 3 : 7
    • B. 7 : 3
    • C. 6 : 7
    • D. 7 : 6
    • Discuss
    • 7. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

    • Options
    • A. 344.35 cm2
    • B. 462 cm2
    • C. 498.35 cm2
    • D. None of these
    • Discuss
    • 8. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:

    • Options
    • A. 20 cm
    • B. 25 cm
    • C. 35 cm
    • D. 50 cm
    • Discuss
    • 9. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

    • Options
    • A. 84
    • B. 90
    • C. 168
    • D. 336
    • Discuss
    • 10. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

    • Options
    • A. 720
    • B. 900
    • C. 1200
    • D. 1800
    • Discuss


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