Bece Model Questions Vol1 2024 Mathematics Question 5

Practice essay / theory question 5 from the 2024 Bece Model Questions Vol1 Mathematics examination. This question covers mensuration, surface area, volume, 3D geometry .

Bece Model Questions Vol1 2024 Mathematics Essay / Theory
Topics: mensuration surface area volume 3D geometry
Question 5 BECE_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • essay
Bece Model Questions Vol1 2024 Mathematics Question 5 diagram

The diagram shows a solid formed by a right circular cylinder of radius 6 cm and height 10 cm, with a right circular cone of height 8 cm placed on top of the cylinder (the cone and cylinder share the same circular base). The solid rests on a flat surface, so the bottom base of the cylinder is not exposed.

Question Parts

( a )
Determine the total exposed surface area of the solid (do not include the bottom base of the cylinder that rests on the floor). Give your answer in terms of \(\pi\) and also as a decimal to one decimal place (cm²).
( b )
Find the total volume of the solid. Express your answer in terms of \(\pi\) and also as a decimal to one decimal place (cm³).
( c )
The exposed surfaces of the solid are to be painted at a cost of ₦45 per cm². Calculate the total cost of painting. Give the answer in naira to the nearest naira.
( d )
If the solid is filled completely with water, and water costs ₦0.12 per cm³, determine the total cost of filling the solid. Give the answer in naira to the nearest naira.

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About This Question

This is Bece Model Questions Vol1 2024 Mathematics Question 5. It is one of the essay questions from the 2024 Bece Model Questions Vol1 Mathematics examination.

The question covers mensuration, surface area, volume, 3D geometry .

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