Neco Model Questions Vol1 2017 Mathematics Question 18

Practice objective / multiple choice question 18 from the 2017 Neco Model Questions Vol1 Mathematics examination. This question covers General .

Neco Model Questions Vol1 2017 Mathematics Objective / Multiple Choice 1 Difficulty
Topic: General
Question 18 NECO_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • objective

A solid consists of a right circular cylinder of radius \(r\) cm and height \(h\) cm, surmounted by a hemisphere of the same radius. The height of the cylinder is twice its radius (\(h=2r\)). The total exterior surface area (excluding the base of the cylinder) is \(600\ \text{cm}^{2}\). Determine the total volume of the solid, giving your answer in exact form and to the nearest whole cubic centimetre.

Answer Options

A. \( \frac{7200}{3\sqrt{\pi}}\ \text{cm}^{3}\ \text{(approximately }1355\text{ cm}^{3}) \)
Correct Answer B. \( \frac{8000}{3\sqrt{\pi}}\ \text{cm}^{3}\ \text{(approximately }1505\text{ cm}^{3}) \)
C. \( \frac{8000}{\sqrt{\pi}}\ \text{cm}^{3}\ \text{(approximately }4515\text{ cm}^{3}) \)
D. \( \frac{8500}{3\sqrt{\pi}}\ \text{cm}^{3}\ \text{(approximately }1605\text{ cm}^{3}) \)
Correct Answer
B
Correct Option:
\( \frac{8000}{3\sqrt{\pi}}\ \text{cm}^{3}\ \text{(approximately }1505\text{ cm}^{3}) \)

About This Question

This is Neco Model Questions Vol1 2017 Mathematics Question 18. It is one of the objective questions from the 2017 Neco Model Questions Vol1 Mathematics examination.

The question covers General .

Difficulty level: 1 .

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