Multiple choice

The curved surface area of a cone of base radius 4 cm and height 3 cm is

  1. 62.86 cm2

  2. 65.87 cm2

  3. 63.95 cm2

  4. 61.05 cm2
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A Correct answer
Explanation

Curved Surface Area of a cone = pi * r * l, where l = sqrt(r^2 + h^2). l = sqrt(4^2 + 3^2) = 5. CSA = 3.14159 * 4 * 5 = 62.8318. The option 62.86 is the closest approximation.

AI explanation

First, find the slant height of the cone using the Pythagorean theorem: l = sqrt(r^2 + h^2) = sqrt(4^2 + 3^2) = sqrt(25) = 5 cm. The curved surface area formula is pi*r*l. Substituting the values gives (22/7) * 4 * 5 = 440/7, which is approximately 62.86 cm2. The result is 62.86 cm2.

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