Neco 2024 Mathematics Question 17

Practice objective / multiple choice question 17 from the 2024 Neco Mathematics examination.

Neco 2024 Mathematics Objective / Multiple Choice Hard Difficulty
Question 17 NECO • 2024 • MATHEMATICS • objective

A cylindrical water tank of radius \\(r\\) cm and height \\(h\\) cm has a hemispherical dome on its top. The total external surface area (excluding the base) is \\(1500\\) cm\\(^2\\) and the height of the cylindrical part is twice the radius ( \\(h = 2r\\) ). Find the total volume of the tank (cylinder plus hemisphere) in cubic centimetres, giving your answer in exact form.

Answer Options

A. \\frac{2000}{4}\\sqrt{\\frac{250}{\\pi}}
B. \\frac{1800}{3}\\sqrt{\\frac{250}{\\pi}}
Correct Answer C. \\frac{2000}{3}\\sqrt{\\frac{250}{\\pi}}
D. \\frac{2000}{3}\\sqrt{\\frac{200}{\\pi}}
Correct Answer
C
Correct Option:
\\frac{2000}{3}\\sqrt{\\frac{250}{\\pi}}

About This Question

This is Neco 2024 Mathematics Question 17. It is one of the objective questions from the 2024 Neco Mathematics examination.

Difficulty level: Hard .

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