Find the curved surface area of a cone with circular base diameter 10 cm and height 12 cm

Answer Details

The curved surface area of a cone is given by the formula: πrℓ where r is the radius of the circular base of the cone and ℓ is the slant height. In this case, the diameter of the circular base is 10 cm, so the radius is 5 cm. The height of the cone is 12 cm, and to find the slant height, we can use the Pythagorean theorem: ℓ² = r² + h² Substituting the values, we get: ℓ² = 5² + 12² ℓ² = 169 ℓ = 13 cm Now, we can use the formula for the curved surface area of the cone: Curved surface area = πrℓ Curved surface area = π × 5 × 13 Curved surface area = 65π cm² Therefore, the curved surface area of the given cone with circular base diameter 10 cm and height 12 cm is 65π cm². is the correct answer.