What is the total surface area of a cone whose curved surface area is 550 cm² and radius is 7 cm? (Take π = 22/7)

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Given:
Curved Surface Area (CSA) = 550 cm²
Radius (r) = 7 cm
π = 22/7

Formula for curved surface area of a cone:
CSA = π * r * l, where l is the slant height.

Step 1: Find the slant height (l).
550 = (22/7) * 7 * l
550 = 22 * l
l = 550 / 22 = 25 cm

Step 2: Find the total surface area (TSA).
TSA = CSA + Base Area
Base Area = π * r² = (22/7) * 7² = (22/7) * 49 = 154 cm²

TSA = 550 + 154 = 704 cm²

Therefore, the total surface area of the cone is 704.00 cm².

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