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Find the ratio between the radius and slant height of a cone by roiling up a sector with central angle 120°. If the curved surface area is 108 π, find the radius and slant height of the cone. |
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Answer» Area of the sector with central angle 120° is one-third of the area of the circle. Curved surface area = 108 π Ares of die; sector = 108 π, which is one-third of the area of the circle Area of the circle = 108 π × 3 πr2 = 324 π Radius of the circle r = 18 cm Slant height = 18 cm Radius of the cone = 6 cm |
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