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 cm^{2}

∴ The height of the right circular cylinder is 8 cm and its curved surface area is 352 cm^{2}.

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