Bece Model Questions Vol1 2021 Mathematics Question 3

Practice essay / theory question 3 from the 2021 Bece Model Questions Vol1 Mathematics examination. This question covers ratio, volume of solids, surface area of solids, cost calculations .

Bece Model Questions Vol1 2021 Mathematics Essay / Theory
Topics: ratio volume of solids surface area of solids cost calculations
Question 3 BECE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • essay

The diagram shows a solid formed by a right circular cylinder of radius r metres and height h_c metres, surmounted by a right circular cone of the same radius r and height h_k metres. The solid rests on a horizontal plane; the base of the cylinder is in contact with the ground and is not to be painted. The following data are given: - The total height of the solid (cylinder plus cone) is 12 m. - The ratio of the radius to the height of the cylinder is 1 : 3. - The ratio of the volume of the cone to the volume of the cylinder is 1 : 2. Using this information, answer the questions that follow.

Question Parts

( a )
Determine the numerical values of the radius r, the height of the cylinder h_c and the height of the cone h_k (in metres).
( b )
Calculate the total external surface area of the solid, including the curved surface of the cylinder, the curved surface of the cone and the circular top of the cone, but excluding the base of the cylinder. Give your answer to two decimal places (m²).
( c )
If the solid is to be painted at a cost of ₦250 per square metre, find the total painting cost. State your answer in naira, rounded to the nearest naira.
( d )
The solid is to be made from a material that costs ₦1,500 per cubic metre. Using the total volume of the solid, determine the material cost, rounded to the nearest naira.

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About This Question

This is Bece Model Questions Vol1 2021 Mathematics Question 3. It is one of the essay questions from the 2021 Bece Model Questions Vol1 Mathematics examination.

The question covers ratio, volume of solids, surface area of solids, cost calculations .

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