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Home Aptitude Volume and Surface Area Comments

  • Question
  • A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cu.cm, then the weight of the pipe is


  • Options
  • A. 3.6 kg
  • B. 3.696 kg
  • C. 36 kg
  • D. 36.9 kg

  • Correct Answer
  • 3.696 kg 

    Explanation

    External radius = 4 cm 

    Internal radius = 3 cm 

    Volume of iron =  22 7 × 4 2 - 3 2 × 21 c m 3 462 c m 3    

    Weight of iron = (462 x 8)gm = 3696 gm = 3.696 kg


  • Volume and Surface Area problems


    Search Results


    • 1. Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.

    • Options
    • A. 3:1
    • B. 2:1
    • C. 4:1
    • D. 5:1
    • Discuss
    • 2. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

    • Options
    • A. 75 cubic meter
    • B. 750 cubic meter
    • C. 7500 cubic meter
    • D. 75000 cubic meter
    • Discuss
    • 3. Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.

    • Options
    • A. 14m
    • B. 15m
    • C. 16m
    • D. 17m
    • Discuss
    • 4. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

    • Options
    • A. 90 cm
    • B. 1 dm
    • C. 1 m
    • D. 1.1 cm
    • Discuss
    • 5. The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?

    • Options
    • A. 6
    • B. 8
    • C. 12
    • D. 16
    • Discuss
    • 6. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface

    • Options
    • A. 40pi sq.m
    • B. 50pi sq.m
    • C. 60pi sq.m
    • D. 70pi sq.m
    • Discuss
    • 7. If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area?

    • Options
    • A. 41%
    • B. 38%
    • C. 33%
    • D. 44%
    • Discuss
    • 8. The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height

    • Options
    • A. 3 : 7
    • B. 7 : 3
    • C. 6 : 7
    • D. 7 : 6
    • Discuss
    • 9. 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
    • 10. Find the surface area of a10cm x 4cm x 3cm brick

    • Options
    • A. 84
    • B. 124
    • C. 164
    • D. 180
    • Discuss


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