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  1. The area of the curved surface and the area of the base of a right circular cylinder are a square cm and b square cm respectively. The height of the cylinder is
    1. 2a
      cm
      πb
    2. a√b
      cm
      2√π
    3. a
      cm
      2√πb
    4. a√π
      cm
      2√b
Correct Option: C

Curved surface of cylinder = 2πrh = a
Area of base = πr² = b
∴ 2πrh = a
⇒ 4π²r²h² = a² ⇒ 4πbh² = a²

⇒ h² =
4πb

⇒ h =
a
cm.
2√πb



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