To find the surface area of the cone, we first need to 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 = sqrt(157)
l ≈ 12.5
Now we can calculate the surface area of the cone:
Surface Area = πr(r + l)
Surface Area = 3.14 * 6(6 + 12.5)
Surface Area = 3.14 * 6(18.5)
Surface Area = 3.14 * 111
Surface Area ≈ 348.54
Therefore, the surface area of the cone is approximately 348.5.
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)
$$
Skip to navigation
1 answer
1 answer