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Home Aptitude Volume and Surface Area See What Others Are Saying!
  • Question
  • A hemispherical basin of 150 cm diameter holds water 120 times as much as a cylindrical tube. If the height of the tube is 15 cm, then the diameter of the tube is?


  • Options
  • A. 27 cm
  • B. 24 cm
  • C. 25 cm
  • D. 26 cm

  • Correct Answer
  • 25 cm 

    Explanation

    Given, diameter = 150 cm
    ? r = 150/2 cm
    According to the question,
    2/3? (150/2)3 = 120 ?r2 x 15
    ? (2/3) x 150 x 150 x 150 / 8 = 120 x 15 x r2
    ? r2 = (150 x 150 x 150) / (12 x 120 x 5)
    ? r2 = 625/4
    ? r = ?625/4 = 25/2
    ? Diameter = 2r = 2 x 25/2 = 25 cm


  • More questions

    • 1. 
      x% of y is y% of?

    • Options
    • A. x
    • B. 100x
    • C. x/100
    • D. y/100
    • Discuss
    • 2. 
      If 37 1/ 2% of a number is 900,then 62 1/ 2% of the number is?

    • Options
    • A. 1200
    • B. 1350
    • C. 1500
    • D. 540
    • Discuss
    • 3. 
      Subtracting 6% of A from A is equivalent to multiplying A by how much?

    • Options
    • A. 0.94
    • B. 9.4
    • C. 0.094
    • D. 94
    • Discuss
    • 4. 
      The price of rice has increased by 60%. In order to restore to the original price, the new price must be reduced by?

    • Options
    • A. 331/3%
    • B. 371/2%
    • C. 40%
    • D. 45%
    • Discuss
    • 5. 
      ? (3.6% of 40) is equal to?

    • Options
    • A. 2.8
    • B. 1.8
    • C. 1.2
    • D. None of these
    • Discuss
    • 6. 
      A student is required to secure at least 50% marks in order to pass an examination. He secured 50 marks which were less than the minimum passing marks by 50. The maximum marks of the paper are?

    • Options
    • A. 200
    • B. 250
    • C. 275
    • D. 300
    • Discuss
    • 7. 
      A furniture seller sells two tables at ? 1500 each. He earned a profit of 20% on one table and suffered a loss of 20% on the another table. Net profit or loss in this deal is?

    • Options
    • A. 4% loss
    • B. 4% profit
    • C. 10% loss
    • D. 10% profit
    • Discuss
    • 8. 
      What is 5% of 50% of 500?

    • Options
    • A. 12.5
    • B. 25
    • C. 1.25
    • D. 6.25
    • Discuss
    • 9. 
      25% of what amount of money is equal to 12 1/ 2 of ? 180?

    • Options
    • A. ? 120
    • B. ? 75
    • C. ? 80
    • D. ? 90
    • Discuss
    • 10. 
      The monthly income of a person is ? 5000. If his income is increased by 30% then what is his monthly income now?

    • Options
    • A. ? 7000
    • B. ? 5500
    • C. ? 4500
    • D. ? 6500
    • Discuss


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