Question
Find the total surface area of a right circular cone
whose height is 4 cm and volume is 36 cm³. (Take π = 3)Solution
Volume of cone = (1/3) x π x r² x h 36 = (1/3) x 3 x r² x 4 36 = r² x 4 r² = 36 ÷ 4 = 9 r = √9 = 3 cm Now, slant height = √(r² + h²) = √(3² + 4²) = √(9 + 16) = √25 = 5 cm Total Surface Area = π x r x (r + l) = 3 x 3 x (3 + 5) = 9 x 8 = 72 cm²
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