WAEC Further Mathematics 2025 Objective — Question 33
Question 33 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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Find the volume of the solid of revolution generated when the region bounded by y=3x², x=0, x=2 and the x-axis is rotated about the x-axis through 360°. [Take π = 22/7]
- A. 178 unit³
- B. 180 unit³
- C. 181 unit³Correct
- D. 190 unit³
Explanation
V = ∫πy²dx from 0 to 2 = π∫9x⁴dx = 9π[x⁵/5] from 0 to 2 = 9π(32/5) = (288/5)×22/7 ≈ 181 unit³.
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