What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary
To find the surface area of a cone, you need to add the area of the base (which is a circle) and the lateral surface area.
Given:
Radius (r) = 5 cm
Slant height (l) = 8 cm
1. Area of the base (circle):
A = πr^2
A = 3.14 * 5^2
A = 3.14 * 25
A = 78.5 cm^2
2. Lateral surface area:
A = πrl
A = 3.14 * 5 * 8
A = 3.14 * 40
A = 125.6 cm^2
3. Total surface area:
Total surface area = Area of the base + Lateral surface area
Total surface area = 78.5 + 125.6
Total surface area = 204.1 cm^2
Therefore, the surface area of the cone is 204.1 square centimeters.