WAEC Mathematics 2015 Objective — Question 15
Question 15 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.
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The dimensions of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4m, calculate the base radius of the cylindrical tank. [Take π = 22/7]
- A. 14m
- B. 7m
- C. 3½mCorrect
- D. 1¾ m
Explanation
Volume of rectangular tank = 2×7×11 = 154 m³. For the cylinder: 154 = (22/7)r²(4) → r² = 154×7/(22×4) = 12.25, r = 3.5m.
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