Waec Model Questions Vol1 2019 Mathematics Question 7

Practice essay / theory question 7 from the 2019 Waec Model Questions Vol1 Mathematics examination. This question covers mensuration, volume, surface area, solid geometry .

Waec Model Questions Vol1 2019 Mathematics Essay / Theory
Topics: mensuration volume surface area solid geometry
Question 7 WAEC_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • essay
Waec Model Questions Vol1 2019 Mathematics Question 7 diagram

A solid is formed by a right circular cylinder of radius r cm and height h cm. A right circular cone is cut from the cylinder such that the cone’s base coincides with the top base of the cylinder and its vertex is at the centre of the bottom base of the cylinder. The solid after the cone is removed is shown in the diagram.

Question Parts

( a )
Find the ratio of the volume of the cone to the volume of the cylinder. Express your answer in its simplest form.
( b )
If the total surface area of the solid (including the interior surface of the cone) is 1500 cm² and the height h is 20 cm, determine the radius r of the cylinder (to the nearest centimetre).
( c )
Using the value of r found in part (b), calculate the external surface area of the solid (the area that would be exposed if the cone were removed, i.e., curved surface of the cylinder plus the bottom base only). Give your answer in cm² to the nearest whole number.
( d )
If the external surface of the solid is to be painted and one litre of paint covers 12 m², how many litres of paint are required? Give your answer correct to two decimal places.

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About This Question

This is Waec Model Questions Vol1 2019 Mathematics Question 7. It is one of the essay questions from the 2019 Waec Model Questions Vol1 Mathematics examination.

The question covers mensuration, volume, surface area, solid geometry .

View More Waec Model Questions Vol1 2019 Mathematics Questions More Waec Model Questions Vol1 Practice Questions Back to Questions

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