Question

The slant height of the frustum of a cone is 5 cm. If the difference between the radii of its two circular ends is 4 cm, write the height of the frustum.

Answer 1

Answer:

The height of the frustum is 3 cm .

Step-by-step explanation:

Let r and R be the radii of the circular ends of the frustum of the cone and h be the height of the frustum.

Given :  

Difference between the radii of its two circular ends (R - r) = 4 cm

Slant height of the frustum of a cone  , l = 5 cm  

Slant height of the frustum of a cone , l = √(R - r)² + h²

5² = 4² + h²

25 = 16 + h²

h² = 25 - 16  

h² = 9  

h = √9

h = 3  

Height of the frustum =  3 cm

Hence , the height of the frustum is 3 cm .

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Answer 2

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