The lateral surface of cone A is unwrapped into a sector of central angle 6 radians and radius π. What is the radius of cone A?

1 answer

The arclength of the sector becomes the circumference of the base of the cone

let the radius of the cone's base be R
arclength = 6π , (because arc = rØ)

base circumference = 2πR
2πR = 6π
R = 3