Multiple choice

A right circular cone has a radius of 11 centimeters and a height of 60 centimeters. What is the slant height of the cone?

  1. 56 centimeters

  2. 61 centimeters

  3. 63 centimeters

  4. 67 centimeters
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B Correct answer
Explanation

Slant height l = sqrt(r^2 + h^2) = sqrt(11^2 + 60^2) = sqrt(121 + 3600) = sqrt(3721) = 61.

AI explanation

The slant height of a right circular cone is calculated using the Pythagorean theorem with the radius and height: l = sqrt(r^2 + h^2). Substituting the given values gives l = sqrt(11^2 + 60^2) = sqrt(121 + 3600) = sqrt(3721). The square root of 3721 is 61, so the slant height is 61 centimeters.

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