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Find the surface area of a cone if its slant height is 21 m and diameter of its base is 24 M?
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Find the surface area of a cone if its slant height is 21 m and diamet...
Understanding the Cone's Dimensions
To calculate the surface area of a cone, we need two key dimensions: the slant height and the radius of the base.
- Slant Height (l): 21 m
- Diameter of Base (d): 24 m
Now, we can find the radius (r) of the base:
- Radius (r): d/2 = 24 m / 2 = 12 m
Surface Area Formula
The surface area (SA) of a cone is given by the formula:
SA = πr(l + r)
Where:
- r = radius of the base
- l = slant height
Calculating the Surface Area
1. Calculate the components:
- r = 12 m
- l = 21 m
2. Plug these values into the formula:
- SA = π * 12 * (21 + 12)
- SA = π * 12 * 33
3. Simplify the calculation:
- SA = π * 396
4. Using the approximate value of π (3.14):
- SA ≈ 3.14 * 396 ≈ 1244.64 m²
Final Result
The surface area of the cone is approximately 1244.64 m². This includes both the lateral surface area and the area of the base, giving a complete view of the cone's exterior.
By following these steps, you can easily calculate the surface area of any cone with the known dimensions.
To calculate the surface area of a cone, we need two key dimensions: the slant height and the radius of the base.
- Slant Height (l): 21 m
- Diameter of Base (d): 24 m
Now, we can find the radius (r) of the base:
- Radius (r): d/2 = 24 m / 2 = 12 m
Surface Area Formula
The surface area (SA) of a cone is given by the formula:
SA = πr(l + r)
Where:
- r = radius of the base
- l = slant height
Calculating the Surface Area
1. Calculate the components:
- r = 12 m
- l = 21 m
2. Plug these values into the formula:
- SA = π * 12 * (21 + 12)
- SA = π * 12 * 33
3. Simplify the calculation:
- SA = π * 396
4. Using the approximate value of π (3.14):
- SA ≈ 3.14 * 396 ≈ 1244.64 m²
Final Result
The surface area of the cone is approximately 1244.64 m². This includes both the lateral surface area and the area of the base, giving a complete view of the cone's exterior.
By following these steps, you can easily calculate the surface area of any cone with the known dimensions.
Community Answer
Find the surface area of a cone if its slant height is 21 m and diamet...
1244.57 sq.m (approx)brother iska division bahut long h.......
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Find the surface area of a cone if its slant height is 21 m and diameter of its base is 24 M?
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Find the surface area of a cone if its slant height is 21 m and diameter of its base is 24 M? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the surface area of a cone if its slant height is 21 m and diameter of its base is 24 M? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the surface area of a cone if its slant height is 21 m and diameter of its base is 24 M?.
Find the surface area of a cone if its slant height is 21 m and diameter of its base is 24 M? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the surface area of a cone if its slant height is 21 m and diameter of its base is 24 M? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the surface area of a cone if its slant height is 21 m and diameter of its base is 24 M?.
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