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Surface Area of a Cylinder Calculator
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 The surface area of a cylinder is defined as the total area of a surface of a cylinder. Surface Area of a Cylinder Calculator (or Area of a Cylinder Calculator) takes radius and height of the cylinder as the inputs and calculates the surface area of the cylinder.

## Steps for Calculating Surface Area of a Cylinder

Step 1 :

Formula for total surface area of a cylinder = curved surface area + area of top and bottom.

Curved surface area = 2 × π × r × h .

Total surface area = 2 × π × r × h + 2 × π × r2.

r = radius of the base or top.

h = height of the cylinder.

π = 3.142 (fixed value).

Step 2 :

Put the values in the formula and find the total surface area of a cylinder .

## Examples for Surface Area of a Cylinder Calculator

1. ### Calculate the curved surface area of the cylinder, if the radius of a base is 5cm and the height of a cylinder is 10cm?

Step 1 :

Given that:

r = 5 cm

h = 10 cm

Curved surface area = ?

Step 2 :

Put the values in the formula,

Curved surface area = 2 × π × r × h

Curved surface area = 2 × 3.142 × 5 cm × 10 cm

Curved surface area = 314.2 cm2

Curved surface area = 314.2 cm2.

2. ### Calculate the total surface area of a cylinder , if the radius of a base is 6 cm and the height of a cylinder is 9 cm?

Step 1 :

Given that:

r = 6 cm

h = 9 cm

Total surface area = ?

Step 2 :

Put the values in the formula,

Total surface area = 2 × π × r × h + 2 × π × r2

Total surface area = 2 × 3.142 × 6 cm × 9 cm + 2 × 3.14 × 62

Total surface area = 2 × 3.142 × 54 cm2 + 2 × 3.14 × 36 cm2

Total surface area = 33.9.3  cm2 + 226.08 cm2

Total surface area = 565.38 cm2