surface area of cones practice what is the surface area and square meters of a cone with a slant height of 8 m and a radius of 5 m use 3.14 for pi
To find the surface area of a cone, we need to calculate the sum of the areas of the base and the lateral surface.
The formula for the surface area of a cone is:
Surface Area = πr(r + s), where r is the radius and s is the slant height.
Given:
Radius (r) = 5 m
Slant height (s) = 8 m
Value of π = 3.14
First, let's calculate the lateral surface area of the cone using the formula mentioned above:
Lateral Surface Area = πr(s)
Lateral Surface Area = 3.14 * 5 * 8
Lateral Surface Area = 125.6 m²
Next, let's calculate the area of the base of the cone (which is a circle):
Base Area = πr²
Base Area = 3.14 * 5²
Base Area = 3.14 * 25
Base Area = 78.5 m²
Now, we can find the total surface area by summing the lateral surface area and the base area:
Total Surface Area = Lateral Surface Area + Base Area
Total Surface Area = 125.6 + 78.5
Total Surface Area = 204.1 m²
Therefore, the surface area of the given cone is 204.1 square meters.