The slant height of a cone is 20 centimetres and it makes an angle 30 degree
with its radius .
a) What is its radius ?
b) Compute its curved surface area
Answers
Answer:
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Given :- The slant height of a cone is 20 centimetres and it makes an angle 30 degree with its radius .
To Find :- a) What is its radius ?
b) Compute its curved surface area ?
Solution :-
Let us assume that, radius of the cone is r cm.
so,
→ cos 30° = radius / slant height
→ (√3/2) = r / 20
→ 2r = 20√3
→ r = 10√3 cm (Ans.a)
then,
→ CSA of cone = π * radius * slant height = 3.14 * 10√3 * 20 = 31.4 * 1.73 * 20 = 1086.44 cm² (Ans.b)
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