4. Find the height of a cone whose diameter is 30 m and slant height is 25 m.

5. In the given figure, O is the centre of the circle. The angle subtended by the arc BCD at the centre is 140°. BC is produced to P, determine ∠BAD and ∠DCB.

Dear Student,

4) Given: Diameter = 30cm  Radius = r = 15m, Slant height = l = 25mLet h be the height of the cone.Then, l2 = r2 + h2 252 - 152 = h2 h2 = 400, or h = 20m

Kindly refer to the following link for the answer to your query:

​5) https://www.meritnation.com/ask-answer/question/in-fig-5-o-is-the-centre-of-the-circle-the-angle-by-th/math/12067633

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4) Formula:-
                     L= H2 + R2

​L = slanting height = 25 m
H = height = h
R = radius = 30/2 m = 15 m

252 = h2 + 152
625 = h2 + 225
(625 - 225)1/2 = h
(400)1/2 = h
20 m = h = height of the cone.
                        
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Ans to 4th is 20m
Ans to 5th: angle BAD is 70 degrees and angle DCB is 110 degrees 
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But how
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