Gce Model Questions Vol1 2022 Mathematics Question 13

Practice essay / theory question 13 from the 2022 Gce Model Questions Vol1 Mathematics examination. This question covers mensuration, volume, surface area, centre of mass, composite solids .

Gce Model Questions Vol1 2022 Mathematics Essay / Theory
Topics: mensuration volume surface area centre of mass composite solids
Question 13 GCE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • essay

A solid is formed as follows: - A right‑circular cylinder of radius 5 cm and height 12 cm stands on its base. - A right‑circular cone of the same radius (5 cm) and height 12 cm is removed from the top of the cylinder, the base of the cone coinciding with the top face of the cylinder. - A rectangular prism of length 8 cm, width 5 cm and height 6 cm is attached to the side of the cylinder. One of its 5 cm × 6 cm faces is flush with the cylindrical surface from the base (z = 0) up to z = 6 cm. All dimensions are shown in the accompanying illustration. Using the information above, answer the following:

Question Parts

( a )
Calculate the total volume of the composite solid. Give your answer in exact form and to two decimal places.

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This is Gce Model Questions Vol1 2022 Mathematics Question 13. It is one of the essay questions from the 2022 Gce Model Questions Vol1 Mathematics examination.

The question covers mensuration, volume, surface area, centre of mass, composite solids .

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