The diameter of the base of the almost straight circular cone shaped warning cone is 0.30 m and the length of the side line is 55 cm. The cone has no bottom.The surface area of the cone is
Question
The diameter of the base of the almost straight circular cone shaped warning cone is 0.30 m and the length of the side line is 55 cm. The cone has no bottom.The surface area of the cone is
Solution
The surface area of a cone is calculated using the formula: A = πr(r + l), where r is the radius of the base and l is the slant height.
Step 1: Convert all measurements to the same units. Here, we'll use meters. The diameter is already in meters, so we just need to convert the slant height from cm to m. 55 cm = 0.55 m.
Step 2: Calculate the radius of the base. The radius is half the diameter, so r = 0.30 m / 2 = 0.15 m.
Step 3: Substitute the values into the formula. A = π * 0.15 m * (0.15 m + 0.55 m) = π * 0.15 m * 0.70 m = 0.033 m².
So, the surface area of the cone is approximately 0.033 square meters.
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