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The lateral surface area of a hemisphere whose total surface area is 525 cm2 is
- a)395 cm2
- b)350 cm2
- c)370 cm2
- d)260 cm2
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The lateral surface area of a hemisphere whose total surface area is 5...
Given: Total surface area of hemisphere = 525 cm²
To find: Lateral surface area of hemisphere
Solution:
We know that the total surface area of a hemisphere is given by:
TSA = 3πr²
where r is the radius of the hemisphere.
We need to find the lateral surface area of the hemisphere, which is the curved surface area of the hemisphere.
The curved surface area of a hemisphere is given by:
CSA = 2πr²
To find the lateral surface area of the hemisphere, we need to subtract the area of the circular base from the curved surface area.
Area of circular base = πr²
Lateral surface area = CSA - Area of circular base
= 2πr² - πr²
= πr²
We know that the total surface area of the hemisphere is 525 cm².
So, 3πr² = 525
πr² = 175
r² = 175/π
r ≈ 7.43 cm (approx.)
Therefore, the lateral surface area of the hemisphere is:
Lateral surface area = πr²
= π(7.43)²
≈ 350 cm²
Hence, option B is the correct answer.
To find: Lateral surface area of hemisphere
Solution:
We know that the total surface area of a hemisphere is given by:
TSA = 3πr²
where r is the radius of the hemisphere.
We need to find the lateral surface area of the hemisphere, which is the curved surface area of the hemisphere.
The curved surface area of a hemisphere is given by:
CSA = 2πr²
To find the lateral surface area of the hemisphere, we need to subtract the area of the circular base from the curved surface area.
Area of circular base = πr²
Lateral surface area = CSA - Area of circular base
= 2πr² - πr²
= πr²
We know that the total surface area of the hemisphere is 525 cm².
So, 3πr² = 525
πr² = 175
r² = 175/π
r ≈ 7.43 cm (approx.)
Therefore, the lateral surface area of the hemisphere is:
Lateral surface area = πr²
= π(7.43)²
≈ 350 cm²
Hence, option B is the correct answer.
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Community Answer
The lateral surface area of a hemisphere whose total surface area is 5...
Total surface area = 525 (given).
Total surface area = 3πr^2 .
put tha value and find Radius.
then use .
curved surface area= 2πr^2 .
Total surface area = 3πr^2 .
put tha value and find Radius.
then use .
curved surface area= 2πr^2 .
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The lateral surface area of a hemisphere whose total surface area is 525 cm2isa)395 cm2b)350 cm2c)370 cm2d)260 cm2Correct answer is option 'B'. Can you explain this answer?
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The lateral surface area of a hemisphere whose total surface area is 525 cm2isa)395 cm2b)350 cm2c)370 cm2d)260 cm2Correct answer is option 'B'. Can you explain this answer? 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 The lateral surface area of a hemisphere whose total surface area is 525 cm2isa)395 cm2b)350 cm2c)370 cm2d)260 cm2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The lateral surface area of a hemisphere whose total surface area is 525 cm2isa)395 cm2b)350 cm2c)370 cm2d)260 cm2Correct answer is option 'B'. Can you explain this answer?.
The lateral surface area of a hemisphere whose total surface area is 525 cm2isa)395 cm2b)350 cm2c)370 cm2d)260 cm2Correct answer is option 'B'. Can you explain this answer? 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 The lateral surface area of a hemisphere whose total surface area is 525 cm2isa)395 cm2b)350 cm2c)370 cm2d)260 cm2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The lateral surface area of a hemisphere whose total surface area is 525 cm2isa)395 cm2b)350 cm2c)370 cm2d)260 cm2Correct answer is option 'B'. Can you explain this answer?.
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