Multiple choice

Mark the correct alternative of the following. The diameters of two cones are equal. If their slant heights are in the ratio $5:4$, the ratio of their curved surface areas, is?

  1. $4:5$
  2. $25:16$
  3. $16:25$
  4. $5:4$
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D Correct answer
Explanation

Curved surface area of a cone = pi * r * l. Since diameters are equal, radii are equal. Ratio of areas = (pi * r * l1) / (pi * r * l2) = l1 / l2 = 5/4.

AI explanation

The curved surface area of a cone is pi * r * l. Since the diameters are equal, their radii are identical. The ratio of their curved surface areas is directly proportional to the ratio of their slant heights. Therefore, the ratio of their curved surface areas is 5:4.

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