Q. 93.7( 6 Votes )

# The height and radius of a cylinder are 7.5 cm and 3.5 cm respectively. Find the ratio between the total surface area and curved surface area of the cylinder

Answer :

Let r be the radius and h be the height of cylinder

h = 7.5 cm = cm

r = 3.5 cm = cm

total surface area = 2πrh + 2πr^{2}

curved surface area = 2πrh

ratio of total surface area to curved surface area =

⇒ ratio =

⇒ ratio =

⇒ ratio = 1 +

⇒ ratio = 1 +

⇒ ratio = 1 +

⇒ ratio =

⇒ ratio =

Therefore, ratio between the total surface area and curved surface area of the cylinder is 22:15

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