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The height of a cone is 16 cm and base radius is 12 cm. Its slant height is
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Explanation:
The slant height (l) of a cone can be calculated using the Pythagorean theorem, as the slant height forms the hypotenuse of a right triangle where:
– The height (h) of the cone is one leg,
– The radius (r) of the base is the other leg.
The formula for the slant height is:
l = √(r² + h²).
From the problem:
– The height (h) of the cone is 16 cm,
– The radius (r) of the base is 12 cm.
Substitute the values of r = 12 cm and h = 16 cm into the formula:
l = √(12² + 16²).
Simplify step by step:
l = √(144 + 256),
l = √400,
l = 20 cm.
Thus, the slant height of the cone is 20 cm, which corresponds to option c) 20.
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