a sector of radius 12 cm and its central angle 120° is fouled bto make a cone a) what is thr slanted hight of the cone b) find raidus c) find base perimeter d) find base area e )find curved surface area find total surface area f) find hight g) find its volume
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Answer:
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Step-by-step explanation:
Given the radius of circle 12cm
This becomes the slant height of cone
The angle of sector 120°
The length of arc is given as= x/360×2πr
120/360×2×π×12
1/3×2π×12
2π×4
8π
This become the circumference of base circle= 2πr=8π
2r=8
r=4
According to Pytagorous theorm
(Slantheight)^2 =(height)^2+(radius)^2
12^2 =(height)^2 +4^2
144=(height)^2 +16
(height)^2 =144−16
(height)^2 =132
height= √132
Volume of cone= 1/3πr^2h
1/3×22/7×4×4×√132
362√132/21
(*_*)
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