Find the surface area of this cone. Include the surface area of the base of the cone. Round to 1 decimal place.

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1 answer

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

Given:
Radius (r) = 8 cm
Slant height (l) = 10 cm

Lateral surface area of a cone = πrl
= π * 8 * 10
= 80π cm²
≈ 251.3 cm²

Base area of a cone = πr²
= π * 8²
= 64π cm²
≈ 201.1 cm²

Total surface area = Lateral surface area + Base area
= 251.3 + 201.1
= 452.4 cm²

Therefore, the surface area of the cone is approximately 452.4 cm².