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Mathematics

The curved area of a solid cylinder is S cm2 and the circumference of its base is C cm; the height of the cylinder is :

  1. C × S

  2. C + S

  3. S ÷ C

  4. S - C

Mensuration

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Answer

Let height of cylinder be h cm and radius be r cm.

Given,

The curved area of a solid cylinder is S cm2.

By formula,

Circumference of base = 2πr

Curved surface area = 2πrh

⇒ S = 2πrh

⇒ S = C.h

⇒ h = SC\dfrac{S}{C} = S ÷ C.

Hence, Option 3 is the correct option.

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