Answer:
216 degrees is the answer.
Step-by-step explanation:
The vertical height of the cone = 8 cm
The radius of the cone = 6 cm
The perimeter or circumference of the base of the cone is given by:
P =
=
Now the slanted height is calculated using Pythagoras theorem:
H =
=
= 10
Let 'θ' is the sector angle that we have to find.
Arc length of the sector is equal to the perimeter.
Arc length = θ
θ
θ=
(radian)
we know that 1 pi radian = 180 degrees.
So, 1.2 pi radian = degrees