To find the radius of the cone, we first need to find the circumference of the sector of the circle.
Circumference of the sector = (120/360) x 2π x 14 cm
= (1/3) x 2 x 3.1416 x 14 cm
= 29.3864 cm
Now, when the sector is folded into a cone, the circumference becomes the base circumference of the cone. Since the circumference of a circle is equal to 2πr, we can find the radius of the cone using the formula:
2πr = 29.3864
r = 29.3864 / (2 x 3.1416)
r ≈ 4.68 cm
Therefore, the radius of the cone is approximately 4.68 cm.
A sector of a circle of radius 14cm which subtends angle 120° at the centre is folded into a cone find the radius of the cone
1 answer