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find the surface area of sphere of diameter :3.5cm
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Understanding Sphere Dimensions
To find the surface area of a sphere, we start by determining its radius. The diameter of the sphere is given as 3.5 cm.
- Radius Calculation:
- Radius (r) = Diameter / 2
- Therefore, r = 3.5 cm / 2 = 1.75 cm
Surface Area Formula
The formula for the surface area (A) of a sphere is:
- A = 4πr²
Where:
- A is the surface area
- r is the radius
- π (pi) is approximately 3.14
Calculating Surface Area
Now, substituting the radius into the formula:
- Step 1: Calculate r²
- r² = (1.75 cm)² = 3.0625 cm²
- Step 2: Substitute into the surface area formula
- A = 4 × π × 3.0625 cm²
- A = 4 × 3.14 × 3.0625 cm²
- Step 3: Perform the multiplication
- A ≈ 4 × 3.14 × 3.0625 ≈ 38.48 cm²
Final Result
The surface area of the sphere with a diameter of 3.5 cm is approximately:
- 38.48 cm²
This detailed calculation gives you a clear understanding of how to derive the surface area of a sphere based on its diameter.
To find the surface area of a sphere, we start by determining its radius. The diameter of the sphere is given as 3.5 cm.
- Radius Calculation:
- Radius (r) = Diameter / 2
- Therefore, r = 3.5 cm / 2 = 1.75 cm
Surface Area Formula
The formula for the surface area (A) of a sphere is:
- A = 4πr²
Where:
- A is the surface area
- r is the radius
- π (pi) is approximately 3.14
Calculating Surface Area
Now, substituting the radius into the formula:
- Step 1: Calculate r²
- r² = (1.75 cm)² = 3.0625 cm²
- Step 2: Substitute into the surface area formula
- A = 4 × π × 3.0625 cm²
- A = 4 × 3.14 × 3.0625 cm²
- Step 3: Perform the multiplication
- A ≈ 4 × 3.14 × 3.0625 ≈ 38.48 cm²
Final Result
The surface area of the sphere with a diameter of 3.5 cm is approximately:
- 38.48 cm²
This detailed calculation gives you a clear understanding of how to derive the surface area of a sphere based on its diameter.
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find the surface area of sphere of diameter :3.5cm Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths
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find the surface area of sphere of diameter :3.5cm Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths 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 sphere of diameter :3.5cm Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths 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 sphere of diameter :3.5cm Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths.
find the surface area of sphere of diameter :3.5cm Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths 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 sphere of diameter :3.5cm Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths 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 sphere of diameter :3.5cm Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths.
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