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)
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Answer 1

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.