Neco Model Questions Vol1 2021 Mathematics Question 1

Practice objective / multiple choice question 1 from the 2021 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Hard Difficulty
Question 1 NECO_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

A solid consists of a right circular cylinder of radius \(r\) cm and height \(h\) cm, closed at both ends, with a right circular cone of the same radius \(r\) and height \(\frac{h}{2}\) cm placed on top of the cylinder (the base of the cone coincides with the top base of the cylinder). If the total surface area of the solid (including the base of the cylinder, the curved surface of the cylinder and the curved surface of the cone) is \(600\pi\) cm\(^2\) and the ratio of the height of the cylinder to its radius is \(3:2\), find the total volume of the solid in cubic centimeters. Give your answer in simplest exact form.

Answer Options

Correct Answer A. \(\frac{4000\pi\sqrt{14}}{7}\)
B. \(\frac{2000\pi\sqrt{14}}{7}\)
C. \(\frac{4000\pi\sqrt{7}}{7}\)
D. \(\frac{4000\pi\sqrt{14}}{14}\)
Correct Answer
A
Correct Option:
\(\frac{4000\pi\sqrt{14}}{7}\)

About This Question

This is Neco Model Questions Vol1 2021 Mathematics Question 1. It is one of the objective questions from the 2021 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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