Asked by dawn
Find the volume of the cone to be constructed from a sector having a diameter of 72 cm and a central angle of 210
Answers
Answered by
Steve
the arc length of the sector is s = rθ = 36(210/360)(2π) = 132
That becomes the circumference of the base of the cone.
So, the radius of the base of the cone is 132/(2π) = 21
Now look at the cone from the side. Its height h is given by
21^2 + h^2 = 36^2
Now you have r and h for the cone, so figure its volume the usual way.
That becomes the circumference of the base of the cone.
So, the radius of the base of the cone is 132/(2π) = 21
Now look at the cone from the side. Its height h is given by
21^2 + h^2 = 36^2
Now you have r and h for the cone, so figure its volume the usual way.
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