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Surface Area of a Cone Calculator
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A Cone is a three dimensional shape with only one vertex, having a circular base. Total surface area of a cone is the sum of the area of the base and the area of the curved surface.

## Steps for Calculating Surface Area of a Cone

Step 1 :

Formula for total surface area of a cone = Area of the base length(π × r2) + area of the curved surface(π × r × s)
Where, r = radius of the base and s = slant height

Step 2 :

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

## Example Problems on Surface Area of a Cone

1. ### Calculate the total surface area of a cone having the radius of the base as 4cm and the slant height is 8cm?

Step 1 :

Given that:
Slant height = 8cm
Total surface area = ?

Step 2 :

Substitute the given values in the formula:
Total Surface area of a cone = π × r2 + π × r × s
Total Surface area of a cone = π × (4cm)2 + π × (4cm) × (8cm)
Total Surface area of a cone = 150.796 cm2

= 150.796 cm2

2. ### Calculate the curved surface area of a cone having the radius of the base as 4cm and the slant height is 6cm?

Step 1 :

Given that:
Slant height(s) = 6cm
Curved surface area = ?

Step 2 :

Substitute the given values in the formula:
Curved Surface area of a cone = π × r × s
Curved Surface area of a cone = π × (4cm) × (6cm)
Curved Surface area of a cone = 75.358 cm2