Neco Model Questions Vol1 2024 Mathematics Question 7

Practice essay / theory question 7 from the 2024 Neco Model Questions Vol1 Mathematics examination. This question covers mensuration, volume, surface area, composite solids .

Neco Model Questions Vol1 2024 Mathematics Essay / Theory
Topics: mensuration volume surface area composite solids
Question 7 NECO_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • essay

A composite solid consists of a right circular cylinder of radius 3 cm and height 10 cm standing on a square base of side 6 cm. A right circular cone of the same radius (3 cm) and height 6 cm is attached on the top of the cylinder. The square base rests on the floor and is not to be painted. All dimensions are shown in the diagram.

Question Parts

( a )
Determine the slant height of the cone.
( b )
Find the total surface area of the solid that will be painted (exclude the square base). Express the answer in terms of π and also give a numerical value correct to two decimal places (in cm²).
( c )
Determine the total volume of the solid. Give the answer in terms of π and also a numerical value correct to two decimal places (in cm³).
( d )
If the material of the solid costs ₦250 per cm³ and painting costs ₦150 per m², calculate: (i) the total cost of the material; (ii) the total painting cost for the exposed surface (use the area from part (b)). Give your answers in naira, rounded to the nearest naira.

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About This Question

This is Neco Model Questions Vol1 2024 Mathematics Question 7. It is one of the essay questions from the 2024 Neco Model Questions Vol1 Mathematics examination.

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

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