what will be radius of base of a cone wohose height is 6m and slant height is 10m ?
Answers
Answered by
4
Given :
⬤ Height of Cone is 6 m .
⬤ Slant Height of Cone is 10 m .
To Find :
⬤ Radius of Base of a Cone .
Formula Used :
- l = Slant Height
- h = height
- r = radius
Solution :
- Height (h) = 6 m.
- Slant Height (l) = 10 m.
According to the Formula :-
(l)² = (h)² + (r)²
(10)² = (6)² + r²
(10×10) = (6×6) + r²
100 = 36 + r²
100 - 36 = r²
64 = r²
√64 = r
8 = r
Therefore , The Radius of Base of a Cone is 8 m .
Answered by
49
Answer:
Given :-
- A cone whose height is 6 cm and slant height is 10 m.
To Find :-
- What is the radius of a cone.
Formula Used :-
By using Phythagorus Theorem we know that,
where,
- r = Radius
- h = Height
- l = Slant Height
Solution :-
Given :
- Height = 6 cm
- Slant height = 10 cm
According to the question by using the formula we get,
⇒ (10)² = (r)² + (6)²
⇒ 100 = (r)² + 36
⇒ - (r)² = 36 - 100
⇒ - (r)² = - 64
⇒ - r = √- 64
⇒ - r = - 8
➠ r = 8
The radius of a cone is 8 cm .
Let's Verify :-
↦ (l)² = (r)² + (h)²
Put r = 8 we get,
↦ (10)² = (8)² + (6)²
↦ 100 = 64 + 36
↦ 100 = 100
➦ LHS = RHS
Hence, Verified ✔
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