MathematicsThe volume and curved surface area of the cylinder are 1650cm3 and 660cm2 respectively. Find the radius and height of the cylinder.

The volume and curved surface area of the cylinder are 1650cm3 and 660cm2 respectively. Find the radius and height of the cylinder.


  1. A
    5cm, 21cm
  2. B
    10cm, 2cm
  3. C
    1cm, 5cm
  4. D
    None of these 

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    Solution:

    Volume of cylinder = 1650cm2
    πr2h = 1650
    ___(i)
    Surface area of the cylinder = 2πrh
    660 = 2πrh ___(ii)
    Form eqn.  (i) and eqn. (ii)
    r = 5cm
    Put in the equation. (2)
    660 = 2π × 5 × h
    h = 21cm
     
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