A sector of central and 216° is cut out from a circle of radius 25 centimetres and it is rolled up into a cone. What is the base-radius and height of this cone? What is its volume?
Central angle of the sector = 216°, which is .
Radius of the large circle = 25 cm
Radius of the small circle = of the radius of the larger circle
Slant height of the cone = Radius of the larger circle = 25 cm
We know that (Slant height)2 = (Height)2 + (Base-radius)2
Volume of the cone =