A sector of central angle 60degree is cut from a circle of radius 10cm. it is bended to form of cone. what is the slant height of the cone ?
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Given : A sector of central angle 60degree is cut from a circle of radius 10cm.
it is bended to form of cone.
To Find : slant height of the cone
Solution:
Radius of Circle will be slant height of the cone
Hence Slant height of cone = 10 cm
Circumference of base of cone = ( 60/360°) 2π(10)
= (1/6)2π(10)
radius of cone = r
=> 2πr = (1/6)2π(10)
=> r = 10/6
=> r = 5/3
Height of cone = √(10² - (5/3)²) = 9.86 cm
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