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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?

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Answers

Abhi Baskaran
4 weeks ago
Related 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

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Pt Akshay Gautam
Jan 13, 2022
Sorry your correct

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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