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?

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Solution

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 =

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15 c m

216^{o}

15 c m

216^{o}

15

216^{o}

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