waec model questions vol6 2024 mathematics
Objective • Question 8
Question 8
WAEC_MODEL_QUESTIONS_VOL6
•
2024
A closed cylindrical tank (including top and bottom) has a total surface area of 600π cm². Determine the radius and height that give the maximum possible volume, and state that maximum volume (expressed in terms of π).
Answer Options
A.
r = 8 cm, h = 24 cm, Vmax = 1536π cm³
B.
r = 9 cm, h = 22 cm, Vmax = 1782π cm³
Correct Answer
C.
r = 10 cm, h = 20 cm, Vmax = 2000π cm³
D.
r = 12 cm, h = 16 cm, Vmax = 2304π cm³
Correct Answer
C
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