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NECO Mathematics 2024 Objective — Question 15

Question 15 of 50 from the National Examinations Council (NECO) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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Make R the subject of the relation V=πl(R²−r²)

  • A. A. R=√(V/πl)+r²
  • B. B. R=√(V/πl−r²)Correct
  • C. C. R=√(V−πlr²)
  • D. D. R=√(V+πlr²)

Explanation

V=πl(R²−r²). Divide both sides by πl: V/πl=R²−r². Then R²=V/πl+r². Then R=√(V/πl+r²).

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