Multiple choice

The height of a cone is 16 cm and slant height is 20 cm . What will be its radius ?

  1. 12 cm

  2. 13 cm

  3. 14 cm

  4. 10 cm
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A Correct answer
Explanation

In a cone, r^2 + h^2 = l^2, where r is radius, h is height, and l is slant height. r^2 + 16^2 = 20^2. r^2 + 256 = 400. r^2 = 144, so r = 12.

AI explanation

The relationship between a cone's height, slant height, and radius is given by the Pythagorean theorem: radius squared equals slant height squared minus height squared. Substituting the given values gives radius squared = 20 squared - 16 squared, which is 400 - 144 = 256. Taking the square root of 256 gives a radius of 12 cm.

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