The vertical angle of a cone is 120° and its radius 10cm Find curved surface area of a cone.
Take π = 3.14 and 3 =1.732
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Given : The vertical angle of a cone is 120° and its radius 10cm
Take π = 3.14 and √3 =1.732
To Find : curved surface area of a cone.
Solution:
Vertical angle of cone = 120°
Half of angle = 60°
Sin 60° = radius / slant height
=> √3/2 = 10/slant height
=> slant height = 20/√3
=> slant height = 20√3 / 3
=> slant height = 20 * 1.732 / 3
=> slant height = 34.64 / 3
curved surface area of a cone. = π ( radius) (slant height)
= 3.14 x 10 x 34.64 / 3
= 1087.696/3
= 362.565 cm²
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