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

Correct Answer is : R = Vπl+r2{\;V/π l + r²πlV+r2

Correct Answer is : R = Vπl+r2{\;V/π l + r²πlV+r2

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WAEC Mathematics 2024 Paper

Question : 15

Total: 50

^2

^2

)

Solution:

Concept:

Rearrange the given formula to isolate

R

using inverse operations.

Explanation:

Start with:

V = \pi l (R^2 - r^2)

Divide both sides by

\pi l

\frac{V}{\pi l} = R^2 - r^2

Add

r^2

to both sides to isolate

R^2

R^2 = \frac{V}{\pi l} + r^2

Take the square root of both sides:

R = \sqrt{\frac{V}{\pi l} + r^2}

Answer:

Option A:

R = \sqrt{\frac{V}{\pi l} + r^2}

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