Multiple choice

Find the curved surface area of frustum cone radii 0.2 and 3.2 cm and a slant height 5 cm. (Use $\pi$ = 3.14).

  1. 53.38 $cm^2$
  2. 52.38 $cm^2$
  3. 51.38 $cm^2$
  4. 50.38 $cm^2$
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A Correct answer
Explanation

Curved surface area of a frustum = pi * (r1 + r2) * l. CSA = 3.14 * (0.2 + 3.2) * 5 = 3.14 * 3.4 * 5 = 3.14 * 17 = 53.38.

AI explanation

Using the formula for the curved surface area of a frustum of a cone, which is pi multiplied by the sum of the two radii times the slant height, we get 3.14 multiplied by (0.2 + 3.2) and then by 5. The sum of the radii is 3.4, yielding an expression of 3.14 times 17. Calculating this gives a total area of 53.38 square centimeters.