the slant height of the frustum of a cone is 5cm.if the difference between radii of its 2 circular ends is 4cm find the height of the frustum
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QUESTION :-
the slant height of the frustum of a cone is 5cm.if the difference between radii of its 2 circular ends is 4cm find the height of the frustum?
ANSWER:-
Let r and R be the radius of the circular ends of the frustum of the cone and h be the height of the frustum.
R-r = 4 and l = 5 cm
l²= (R-h)² + h² ---- [formula]
5² = 4² + h²
h² = 25 - 16
h² = 9
h=√9
h=3cm.
Hence , height of the frustum is 3 cm.
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Answered by
42
Answer:
The height of the frustum is 3 cm.
Step-by-step explanation:
Given :
The slant height (l) of the frustum of a cone = 5 cm.
Consider the :
Radius of the larger circular face of the frustum as - R cm.
The Radius of the smaller circular face of the frustum as - r cm.
According to the question,
⇒ R - r = 4cm.
As we know :
So,
Now, Squaring both sides of the equation,
∴ Height of the frustum (h) = 3cm.
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