Question

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​

Answer 1

Answer:

;)

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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