Bece Model Questions Vol1 2018 Mathematics Question 7

Practice essay / theory question 7 from the 2018 Bece Model Questions Vol1 Mathematics examination. This question covers mensuration, volume, surface area, composite solids .

Bece Model Questions Vol1 2018 Mathematics Essay / Theory
Topics: mensuration volume surface area composite solids
Question 7 BECE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay
Bece Model Questions Vol1 2018 Mathematics Question 7 diagram

The diagram shows a right circular cylinder of radius 6 cm and height 12 cm. A right circular cone of the same base radius and height 8 cm is removed from the interior of the cylinder, leaving a conical cavity. A hemispherical dome of radius 4 cm is attached on the top of the cylinder, centred on the axis. All dimensions are labelled.

Question Parts

( a )
Find the volume of the resulting solid. Express your answer in terms of \(\pi\) and also give a numerical value correct to the nearest cubic centimetre.
( b )
Determine the total surface area of the solid, including all exposed curved surfaces and the exposed part of the top circular face of the cylinder. Express your answer in terms of \(\pi\) and also give a numerical value correct to the nearest square centimetre.
( c )
Explain why the entire top circular face of the cylinder is not exposed after the hemisphere is attached, and calculate the exact area of the exposed part.

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About This Question

This is Bece Model Questions Vol1 2018 Mathematics Question 7. It is one of the essay questions from the 2018 Bece Model Questions Vol1 Mathematics examination.

The question covers mensuration, volume, surface area, composite solids .

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