Question

a cone has a radius of 6 with a height of 11 what is the surface area of the cone use 3.14 for pi

Answer 1

[AI-generated answer — Bot GPT 3.5]

The surface area of a cone can be calculated using the formula:

Surface Area = π * r * (r + l),

where r is the radius and l is the slant height.

First, let's find the slant height 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 calculate the surface area:

Surface Area = 3.14 * 6 * (6 + 12.53),
Surface Area = 3.14 * 6 * 18.53,
Surface Area ≈ 346.47 square units.

Therefore, the surface area of the cone is approximately 346.47 square units.