Multiple choice

If the radius of a cone is 6 cm and vertical height is 8 cm, then find the curved surface area of the cone.

  1. 188.57 cm2

  2. 888.15 cm2

  3. 78.57 cm2

  4. 258.55 cm2
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A Correct answer
Explanation

Radius r = 6, height h = 8. Slant height l = sqrt(r^2 + h^2) = sqrt(36 + 64) = 10. Curved Surface Area = pi * r * l = 3.14159 * 6 * 10 = 188.495. Closest value is 188.57.

AI explanation

To find the curved surface area of a cone, we first determine the slant height using the Pythagorean theorem because the radius is 6 cm and the vertical height is 8 cm. The slant height is the square root of 6 squared plus 8 squared, which is 10 cm. The curved surface area formula is pi times radius times slant height, so it is 22 over 7 times 6 times 10, resulting in approximately 188.57 square cm.

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