Multiple choice

Find the surface area of a frustum of cone, whose larger and smaller radius is 50 m and 20 m. The slant height of the cone is 100 m. (Use $\pi$ = 3)

  1. 29,700 m$^2$
  2. 28,700 m$^2$
  3. 27,700 m$^2$
  4. 26,700 m$^2$
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A Correct answer
AI explanation

Using the formula for the total surface area of a frustum of a cone, we calculate the curved surface area as pi times (50 plus 20) times 100, which is 7000 times pi. The areas of the two circular bases are pi times 50 squared and pi times 20 squared, which are 2500 times pi and 400 times pi. Adding these together gives a total surface area of 9900 times pi. Using the given approximation of pi as 3, the total surface area is 29700 square meters.

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