Neco 2022 Mathematics Question 1
Practice objective / multiple choice question 1 from the 2022 Neco Mathematics examination.
A closed container consists of a right circular cylinder of height \(h\) and radius \(r\), with a hemispherical dome of radius \(r\) attached on top, and a circular base of radius \(r\) at the bottom. The total external surface area (including the curved surface of the cylinder, the base, and the dome) is \(1500\ \text{cm}^2\). It is also known that the volume of the cylinder is twice the volume of the hemispherical dome. Find the total volume of the container (cylinder plus hemisphere) in cubic centimeters, correct to the nearest whole number.
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About This Question
This is Neco 2022 Mathematics Question 1. It is one of the objective questions from the 2022 Neco Mathematics examination.
Difficulty level: Hard .
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