logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Volume and Surface Area See What Others Are Saying!
  • Question
  • The radius of the base of a right circular cone is increased by 15% keeping the height fixed. The volume of the cone will be increased by.?


  • Options
  • A. 30%
  • B. 31%
  • C. 32.25%
  • D. 34.75%

  • Correct Answer
  • 32.25% 

    Explanation

    Let the fixed height of a right circular cone is h and initial radius is r
    Then, initial volume of cone, V1 = (1/3)?r2h
    After increasing 15% radius of a cone = (r + 3r/20) = 23r/20
    New volume become, V2 = (1/3)?(23/20)2r2h
    ? Increasing percentage = [(V2 - V1) / V1] x 100
    = {[(1/3)?r2h] / [(1/3)?r2h]} {(23/20)2 - 1} x 100
    = (23/20 + 1)(23/20 - 1) x 100
    = 43/20 x 3/20 x 100 = 32.25%


  • More questions

    • 1. 
      The median for the data 2, 4, 6, 8, 10, 12, 14 is

    • Options
    • A. 6
    • B. 8
    • C. 9.5
    • D. 10
    • Discuss
    • 2. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 3. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 4. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 5. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 6. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 7. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 8. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 9. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 10. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss


    Comments

    There are no comments.

Enter a new Comment