Multiple choice

Find the curved surface area of a frustum cone whose larger and smaller radius is 12 and 8 cm. The slant height is 24 cm. (Use $\pi$ = 3.14)

  1. 1,507.2 cm$^2$
  2. 1,407.2 cm$^2$
  3. 1,307.2 cm$^2$
  4. 1,207.2 cm$^2$
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A Correct answer
Explanation

The curved surface area of a frustum is given by pi * (R + r) * l, where R=12, r=8, and l=24. Calculating 3.14 * (12 + 8) * 24 = 3.14 * 20 * 24 = 1507.2.

AI explanation

Using the curved surface area formula for a frustum, CSA = pi * (R + r) * l, substitute pi = 3.14, the larger radius R = 12, the smaller radius r = 8, and the slant height l = 24. Add the radii to get 12 + 8 = 20 cm. Multiply the values to get 3.14 * 20 * 24 = 62.8 * 24 = 1,507.2 cm^2.

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