A sector of a circle of radius is 15Cm, and angle 216 degrees is bent to form a cone. What is base radius of the cone and the vertical heigh

Question

A sector of a circle of radius is 15Cm, and angle 216 degrees is bent to form a cone. What is base radius of the cone and the vertical height of the cone?​

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Dâu 3 years 2021-08-01T05:36:24+00:00 1 Answers 7 views 0

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  1. Amity
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    2021-08-01T05:38:03+00:00
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    Answer:

    Step-by-step explanation:

    Radius r = 15

    Circumference = 2πr = 30π cm

    Circumference of cone = arc length of sector

    = 30π × 216°/360°

    = 18π cm

    Radius of base of cone = 18π/(2π) = 9 cm

    Slant height of cone = radius of circle = 15 cm

    Height of cone = √(15² – 9²) = 12 cm

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