Q. 74.1( 17 Votes )

Radius of base of a cylinder is 20cm and its height is 13cm, find its curved surface area and total surface area.

(π = 3.14)

Answer :

Given: radius of base of cylinder (r) = 20 cm

Height of cylinder (h) = 13 cm


Since it is a cylinder, curved surface area is given by


CSA = 2πrh


Where CSA = Curved Surface Area


r = radius


h = height


CSA = 2 × 3.14 × 20 × 13


CSA = 1632.80 …(i)


Total surface area (TSA) of cylinder is given by


TSA = (Curved surface area) + 2 (Circular area of the base of the cylinder)


TSA = 2πrh + 2πr2


TSA = 1632.8 + (2 × 3.14 × (20)2) [from (i)]


TSA = 1632.8 + 2512 = 4144.80


Thus, curved surface area of the cylinder is 1632.80 cm2 and total surface area of the cylinder is 4144.80 cm2.


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