Multiple choice

The curved surface area of a cone is 2376 square cm and its slant height is 18 cm. Find the diameter.

  1. 6 cm

  2. 18 cm

  3. 84 cm

  4. 12 cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Curved surface area = pi * r * l = 2376. r * 18 = 2376 / pi. Using pi = 22/7, r * 18 = 2376 * 7 / 22 = 756. r = 756 / 18 = 42. Diameter = 2r = 84 cm.

AI explanation

The formula for the curved surface area of a cone is pi * r * l, where r is the radius and l is the slant height. Substituting the given values gives 2376 = (22/7) * r * 18. Solving for r gives r = (2376 * 7) / (22 * 18) = 16632 / 396, which equals 42 cm. The diameter is twice the radius, so it is 2 * 42 = 84 cm.

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