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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
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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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Mathematics
3 years
2021-08-01T05:36:24+00:00
2021-08-01T05:36:24+00:00 1 Answers
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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