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A sphere has a diameter of 14 cm. Find its surface area.
- a)616 cm2
- b)500 cm2
- c)600 cm2
- d)620 cm2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A sphere has a diameter of 14 cm. Find its surface area.a)616 cm2b)500...
Radius r = 14/2 = 7cm
Surface area of a sphere = 4πr2
= 4 π × 49 = 616cm2
Surface area of a sphere = 4πr2
= 4 π × 49 = 616cm2
Most Upvoted Answer
A sphere has a diameter of 14 cm. Find its surface area.a)616 cm2b)500...
Understanding the Sphere
A sphere is a perfectly symmetrical three-dimensional shape where every point on its surface is equidistant from its center. To find its surface area, we need to use the formula:
Surface Area Formula
- The formula for the surface area (SA) of a sphere is given by:
SA = 4πr²
where "r" is the radius of the sphere.
Finding the Radius
- Given the diameter of the sphere is 14 cm, we can find the radius:
r = Diameter / 2
- Therefore,
r = 14 cm / 2 = 7 cm
Calculating the Surface Area
- Now, we substitute the radius back into the surface area formula:
SA = 4π(7 cm)²
- Calculate the square of the radius:
(7 cm)² = 49 cm²
- Now multiply by 4π:
SA = 4 × π × 49 cm²
- Approximating π as 3.14 for calculation:
SA ≈ 4 × 3.14 × 49 cm²
SA ≈ 4 × 153.86 cm²
SA ≈ 615.44 cm²
Final Result
- Rounding off gives us approximately 616 cm². Thus, the correct answer is:
Option A: 616 cm²
A sphere is a perfectly symmetrical three-dimensional shape where every point on its surface is equidistant from its center. To find its surface area, we need to use the formula:
Surface Area Formula
- The formula for the surface area (SA) of a sphere is given by:
SA = 4πr²
where "r" is the radius of the sphere.
Finding the Radius
- Given the diameter of the sphere is 14 cm, we can find the radius:
r = Diameter / 2
- Therefore,
r = 14 cm / 2 = 7 cm
Calculating the Surface Area
- Now, we substitute the radius back into the surface area formula:
SA = 4π(7 cm)²
- Calculate the square of the radius:
(7 cm)² = 49 cm²
- Now multiply by 4π:
SA = 4 × π × 49 cm²
- Approximating π as 3.14 for calculation:
SA ≈ 4 × 3.14 × 49 cm²
SA ≈ 4 × 153.86 cm²
SA ≈ 615.44 cm²
Final Result
- Rounding off gives us approximately 616 cm². Thus, the correct answer is:
Option A: 616 cm²
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Question Description
A sphere has a diameter of 14 cm. Find its surface area.a)616 cm2b)500cm2c)600 cm2d)620cm2Correct answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A sphere has a diameter of 14 cm. Find its surface area.a)616 cm2b)500cm2c)600 cm2d)620cm2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sphere has a diameter of 14 cm. Find its surface area.a)616 cm2b)500cm2c)600 cm2d)620cm2Correct answer is option 'A'. Can you explain this answer?.
A sphere has a diameter of 14 cm. Find its surface area.a)616 cm2b)500cm2c)600 cm2d)620cm2Correct answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A sphere has a diameter of 14 cm. Find its surface area.a)616 cm2b)500cm2c)600 cm2d)620cm2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sphere has a diameter of 14 cm. Find its surface area.a)616 cm2b)500cm2c)600 cm2d)620cm2Correct answer is option 'A'. Can you explain this answer?.
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