The surface area of a cone consists of two parts: the base area and the lateral surface area.
The base of the cone is a circle with the diameter given as 25 cm. The radius r of the base is half the diameter, so r = 25 cm / 2 = 12.5 cm.
The base area can be calculated using the formula for the area of a circle: A = πr², where π (pi) is approximately 3.14.
The base area is then: A_base = π * (12.5 cm)² = 3.14 * 156.25 cm² = 490.625 cm².
Next, we need to calculate the lateral surface area of the cone, which can be found using the formula: A_lateral = πrl, where r is the radius of the base and l is the slant height (also referred to as the "side" in the question).
Given that the side/slant height l is 22 cm, the lateral surface area is: A_lateral = π * 12.5 cm * 22 cm = 3.14 * 12.5 cm * 22 cm = 3.14 * 275 cm² = 863.5 cm².
Adding the base area and the lateral surface area together gives the total surface area of the cone.
Total surface area = A_base + A_lateral = 490.625 cm² + 863.5 cm² = 1354.125 cm².
Therefore, the surface area of the cone is 1,354.125 square centimeters.
What is the surface area of the cone? Use 3.14 for pi. diameter =25 cm 22cm for sides (1 point) Responses 2,383.26 square centimeters 2,383.26 square centimeters 1,354.125 square centimeters 1,354.125 square centimeters 3,689.5 square centimeters 3,689.5 square centimeters 863.5 square centimeters
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