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A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.
- a)189.61 cm3
- b)169.51 cm3
- c)179.61 cm3
- d)125.51 cm3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A sector of a circle of radius 12 cm has the angle 120°. It is rol...
To find the area of a sector, you can use the formula:
Area of sector = (θ/360) * π * r^2
where θ is the angle in degrees and r is the radius.
In this case, the radius is given as 12 cm and the angle is 120 degrees. Plugging these values into the formula, we get:
Area of sector = (120/360) * π * 12^2
= (1/3) * π * 144
= 48π cm^2
So, the area of the sector is 48π cm^2.
Area of sector = (θ/360) * π * r^2
where θ is the angle in degrees and r is the radius.
In this case, the radius is given as 12 cm and the angle is 120 degrees. Plugging these values into the formula, we get:
Area of sector = (120/360) * π * 12^2
= (1/3) * π * 144
= 48π cm^2
So, the area of the sector is 48π cm^2.
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Community Answer
A sector of a circle of radius 12 cm has the angle 120°. It is rol...
Given the radius of circle 12 cm
This becomes the slant height of cone
The angle of sector 120∘
2π × 48π
This become the circumference of base circle = 2πr = 8π2r = 8r = 4
According to Pythagoras theorem
(Slant height)2 = (height)2 + (radius)2
122 = (height)2 + 42
144 =(height)2 + 16
(height)2 = 144 − 16
(height)2 = 132
height = √132
This becomes the slant height of cone
The angle of sector 120∘
2π × 48π
This become the circumference of base circle = 2πr = 8π2r = 8r = 4
According to Pythagoras theorem
(Slant height)2 = (height)2 + (radius)2
122 = (height)2 + 42
144 =(height)2 + 16
(height)2 = 144 − 16
(height)2 = 132
height = √132
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A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.a)189.61 cm3b)169.51 cm3c)179.61 cm3d)125.51 cm3Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.a)189.61 cm3b)169.51 cm3c)179.61 cm3d)125.51 cm3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.a)189.61 cm3b)169.51 cm3c)179.61 cm3d)125.51 cm3Correct answer is option 'A'. Can you explain this answer?.
A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.a)189.61 cm3b)169.51 cm3c)179.61 cm3d)125.51 cm3Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.a)189.61 cm3b)169.51 cm3c)179.61 cm3d)125.51 cm3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.a)189.61 cm3b)169.51 cm3c)179.61 cm3d)125.51 cm3Correct answer is option 'A'. Can you explain this answer?.
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A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.a)189.61 cm3b)169.51 cm3c)179.61 cm3d)125.51 cm3Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.a)189.61 cm3b)169.51 cm3c)179.61 cm3d)125.51 cm3Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.a)189.61 cm3b)169.51 cm3c)179.61 cm3d)125.51 cm3Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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