from the circle of raidus
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Radius of the circle = R = 15 cm.
angle of the sector = Ф = 216°.
Length of the circular arc cut off from the circle
= 2 π R * Ф/360°
= 2 * 22/7 * 15 * 216/360 cm
= 396/7 cm
The piece is bent into a right circular cone.
So the slanting height s of the cone = radius of circle = R = 15 cm.
s = 15 cm
circumference of the base of the cone = arc length = 396/7 cm
base radius r of the cone = r = 396 /7 * 1/2π = 9 cm
height of the cone = h = √(s² - r²) = 15² - 9²) = 12 cm
Volume of the cone = V = π/3 * r² h
V = 22/7 * 1/3 * 9² * 12 cm³
= 7128/7 cm³
angle of the sector = Ф = 216°.
Length of the circular arc cut off from the circle
= 2 π R * Ф/360°
= 2 * 22/7 * 15 * 216/360 cm
= 396/7 cm
The piece is bent into a right circular cone.
So the slanting height s of the cone = radius of circle = R = 15 cm.
s = 15 cm
circumference of the base of the cone = arc length = 396/7 cm
base radius r of the cone = r = 396 /7 * 1/2π = 9 cm
height of the cone = h = √(s² - r²) = 15² - 9²) = 12 cm
Volume of the cone = V = π/3 * r² h
V = 22/7 * 1/3 * 9² * 12 cm³
= 7128/7 cm³
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