Multiple choice

Curved surface area of a cone is $308{cm}^{2}$ and its slant height is $14cm$. Find total surface area of the cone.

  1. $462{cm}^{2}$
  2. $262{cm}^{2}$
  3. $432{cm}^{2}$
  4. $762{cm}^{2}$
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A Correct answer
Explanation

Curved surface area = pi*r*l = 308. (22/7)r*14 = 308 => 44*r = 308 => r = 7. Total surface area = pi*r(r+l) = (22/7)7(7+14) = 22 * 21 = 462.

AI explanation

The curved surface area of a cone is pi times the radius times the slant height, so 308 equals 22/7 times the radius times 14, which gives a radius of 7 centimeters. The total surface area formula is pi times the radius times the sum of the slant height and the radius. Substituting the known values gives 22/7 times 7 times 21, which results in a total surface area of 462 square centimeters.

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