Asked by Erne

A sector of radius 7cm substending an angle 210 at the center of the circle, is used to form a cone calculate to the nearest whole number,the base radius of the cone,the height of the cone, the total surface arc of the cone, volume of the cone, vertical angle of the cone.
Mathematics.
Answered by mathhelper
The arc length of the sector becomes the circumference of the base of the cone.
arc = (210)/(360)*14π = 49/6 π cm
let the radius of the circular base be r
2πr = 49/6π
r = 49/12 cm

We can now find the height of the cone:
h^2 + (49/12)^2 = 7^2
h^2 = 4655/144
h = √(4655/144) = appr 5.686

Now you have all the needed data.
Use the formulas given to you for volume etc.
Answered by Anonymous
What about the volume of the cone
Answered by kefas
YES
Answered by Innocent
What is the Volume of the cone
Answered by Nwufo
V=1/3×22/7×16×36=101cm
Answered by Nwufo
What is then the vertical angle of the cone
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