Find the curved surface area of a cone with circular base diameter 10 cm and height 12 cm
Question 1 Report
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.
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