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If the radius of a sphere is tripled, the ratio of the surface area of original sphere to that of the second is

- a)27 : 1
- b)1 : 9
- c)9 : 1
- d)1 : 27

Correct answer is option 'B'. Can you explain this answer?

Abhi Baskaran
4 weeks ago |

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If the radius of a sphere is tripled, the ratio of the surface area of original sphere to that of the second isa)27 : 1b)1 : 9c)9 : 1d)1 : 27Correct answer is option 'B'. Can you explain this answer?

Surface area of original sphere = 4πr²

= 88r²/7

let the radius of the second sphere be '3r'

therefore, 4π(3r)²

= 792r²/7

Ratio of original sphere and the second sphere= 88r²/7:792r²/7

When simplified , = 1:9

= 88r²/7

let the radius of the second sphere be '3r'

therefore, 4π(3r)²

= 792r²/7

Ratio of original sphere and the second sphere= 88r²/7:792r²/7

When simplified , = 1:9

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If the radius of a sphere is tripled, the ratio of the surface area of original sphere to that of the second isa)27 : 1b)1 : 9c)9 : 1d)1 : 27Correct answer is option 'B'. Can you explain this answer? for Class 9 2022 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If the radius of a sphere is tripled, the ratio of the surface area of original sphere to that of the second isa)27 : 1b)1 : 9c)9 : 1d)1 : 27Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the radius of a sphere is tripled, the ratio of the surface area of original sphere to that of the second isa)27 : 1b)1 : 9c)9 : 1d)1 : 27Correct answer is option 'B'. Can you explain this answer?.

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Surface area of original sphere = 4πr² = 88r²/7let the radius of the second sphere be '3r'therefore, 4π(3r)² = 792r²/7Ratio of original sphere and the second sphere= 88r²/7:792r²/7When simplified , = 1:9