To find the surface area of a cone, we need to add the area of the base (which is a circle) and the lateral surface area.
First, let's find the slant height (l) of the cone using the Pythagorean theorem:
l^2 = r^2 + h^2
l^2 = 6^2 + 11^2
l^2 = 36 + 121
l^2 = 157
l = √157
l ≈ 12.53
Now, we can find the lateral surface area of the cone:
L = π*r*l
L = 3.14*6*12.53
L ≈ 236.38 sq units
Next, we find the area of the base:
A = π*r^2
A = 3.14*6^2
A = 3.14*36
A ≈ 113.04 sq units
Finally, we can find the total surface area:
SA = L + A
SA ≈ 236.38 + 113.04
SA ≈ 349.42 sq units
Therefore, the surface area of the cone is approximately 349.4 square units.
A cone shows a radius of 6 and hypotenuse or side as 11.
What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary.
1 answer
1 answer