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WAEC Mathematics 2024 Question 15

Question 15

Algebraic Expressions

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

  1. A.R = √(V/(πl) + r2)
  2. B.R = √(V/(πl) − r2)
  3. C.R = √(V − πlr2)
  4. D.R = √(V + πlr2)
Show the answer and explanation

Answer: A (R = √(V/(πl) + r2))

Explanation

Divide by πl: R² − r² = V/(πl). Add r² and take the square root: R = √(V/(πl) + r²).