Q. 52

# The ratio of the

Given: Radius and height of the Cylinder are 80cm and 20cm respectively.

Lateral Surface area of a Cylinder is : 2πrh

Let S1 be the Lateral surface area of the Cylinder

S1 = 2πrh

S1 = 2 × π × 80 × 20 = 3200π

Total Surface area of a Cylinder is : 2πr(r + h)

Let S2 be the Total surface area of the Cylinder

S2 = 2πr(r + h)

S2 = 2 × π × 80 × (80 + 20) = 16000π

Ratio of Total surface area to Lateral surface area id S2 : S1

S2 : S1 = 16000π : 3200π

S2 : S1 = 5:1

The ratio of the total surface area to the lateral surface area of a cylinder is 5:1

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