Q3 of 79 Page 229

Curved surface area and circumference at the base of a solid right circular cylinder are 4400 sq.cm and 110 cm respectively. Find its height and diameter.

Given : CSA of cylinder = 4400 sq.cm

Circumference of the base of cylinder = 110 cm


To find : Height of cylinder = h = ?


Diameter = d = ?


Formula : circumference = 2πr


CSA of cylinder = 2πrh


Solution : circumference of base = 2r


⇒ 110 = 2r (1)


CSA of cylinder = 2rh = 2r × h


4400 = 110 × h [from (1)]


⇒ h = = 40 cm


Circumference = d


⇒ 110 = × d


d = = 35 cm


∴ The height and diameter of the right circular cylinder are 40 cm and 35 cm respectively.


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