Multiple choice

A table lamp is in the form of a frustum of a cone whose area of the top and bottom circle bases are 212 and 103 $m^2$. Find the total surface area, if slant height is 10 m and top and bottom radii are 2 and 4 m ( Use $\pi$ = 3)

  1. 595 $m^2$
  2. 550 $m^2$
  3. 510 $m^2$
  4. 505 $m^2$
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A Correct answer
AI explanation

The total surface area of a frustum of a cone is the sum of its curved surface area and the areas of its two circular bases. We are given the top and bottom areas as 212 and 103, and we calculate the curved surface area as pi times (2 plus 4) times the slant height of 10. Using pi as 3, the curved surface area is 3 times 6 times 10, which is 180. Adding the curved surface area of 180 to the given base areas of 212 and 103 gives a total surface area of 595 square meters.

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