Gce Model Questions Vol1 2025 Mathematics Question 11

Practice objective / multiple choice question 11 from the 2025 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2025 Mathematics Objective / Multiple Choice Hard Difficulty
Question 11 GCE_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • objective

A closed cylindrical tank with a hemispherical dome on top and a circular base has a total external surface area of \(1500\) cm\(^2\). The surface area includes the curved surface of the cylinder, the curved surface of the hemisphere, and the base of the cylinder. Determine the dimensions (radius \(r\) and cylinder height \(h\) in cm) that maximise the internal volume of the tank, and then give the maximum volume (to the nearest cm\(^3\)).

Answer Options

A. 4520 cm^3
B. 4750 cm^3
C. 5120 cm^3
Correct Answer D. 4885 cm^3
Correct Answer
D
Correct Option:
4885 cm^3

About This Question

This is Gce Model Questions Vol1 2025 Mathematics Question 11. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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