Question

What is the surface area of a cone with 11 slant length and 6 radius? Use 3.14 for pi and round to the nearest tenth if necessary.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a cone, we need to calculate the lateral area and add it to the area of the base.

The lateral area of a cone is given by: Lateral area = π × radius × slant length

The area of the base of a cone is given by: Base area = π × radius²

So, plugging in the given values, we have:
Lateral area = 3.14 × 6 × 11 = 205.8 (rounded to the nearest tenth)

Base area = 3.14 × 6² = 113.04 (rounded to the nearest hundredth)

Therefore, the surface area of the cone is equal to the sum of the lateral area and the base area:
Surface area = Lateral area + Base area = 205.8 + 113.04 = 318.84 (rounded to the nearest hundredth)

The surface area of the cone is approximately 318.84 square units.