Answer :

Given : Total surface area (TSA) of cylinder = 660 sq.cm.

Diameter of the base of the cylinder = d = 14 cm


To find : Height of cylinder = h = ?


Curved surface area (CSA) of cylinder = ?


Formula : d = 2r


TSA of cylinder = 2πr (h + r)


CSA of cylinder = 2πrh


Solution : diameter = d = 2r


Radius = r = = = 7 cm


TSA of cylinder = 2r (h + r)


660 = 2 × × 7 (h + 7)


660 = 44 (h + 7)


44 (h + 7) = 660


h + 7 =


h + 7 = 15


h = 15 – 7


h = 8 cm


CSA of cylinder = 2rh = 2 × × 7 × 8


= 44 × 8 = 352 cm2


The height of the right circular cylinder is 8 cm and its curved surface area is 352 cm2.


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