Acone made of cardboard has a vertical height of 8 cm and a radius of 6 cm. if this cone is cut along the slanted height to make a sector, what is the central angle, in degrees, of the sector?

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

1,589.63 in.^3

step-by-step explanation:

i hope this you : d