Multiple choice

The curved surface area of a cone is 670 cm$\displaystyle ^{2} $ and its radius is 15cm Find its slant height and total surface area

  1. 13770.4 cm$\displaystyle ^{2} $
  2. 1377.04 cm$\displaystyle ^{2} $
  3. 137.704 cm$\displaystyle ^{2} $
  4. 137704 cm$\displaystyle ^{2} $
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B Correct answer
AI explanation

Using the curved surface area formula for a cone, we write 670 = 3.14 * 15 * l, which makes the slant height l equal to 14.22 cm. The total surface area is the sum of the curved surface area and the base area, calculated as 670 + 3.14 * 15 * 15. Adding 670 and 706.5 gives a total surface area of 1377.04 sq cm.

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