Use the image to answer the question.
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 point)
that is wrong
Use the image to answer the question.
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 point)
To find the surface area of the cone, we need to find the slant height (l) and the lateral surface area (L).
Using the Pythagorean theorem, we can find the slant height (l):
radius = 6
hypotenuse = 11
Using the Pythagorean theorem:
r^2 + l^2 = h^2
6^2 + l^2 = 11^2
36 + l^2 = 121
l^2 = 121 - 36
l^2 = 85
l = √85
Now, we can find the lateral surface area (L):
L = πrl
L = π(6)(√85)
L = 6π√85
Rounding to the nearest tenth:
L ≈ 6(3.14)(9.2) ≈ 173.3
Therefore, the surface area of the cone is approximately 173.3 square units.