Neco 2017 Mathematics Question 7

Practice essay / theory question 7 from the 2017 Neco Mathematics examination. This question covers mensuration, surface area, volume, solid geometry .

Neco 2017 Mathematics Essay / Theory
Topics: mensuration surface area volume solid geometry
Question 7 NECO • 2017 • MATHEMATICS • essay

A solid consists of a right circular cylinder of radius \(6\) cm and height \(10\) cm. A right circular cone of the same radius \(6\) cm and height \(8\) cm is placed on top of the cylinder, sharing the circular face. The solid is shown in the labelled diagram. A horizontal plane cuts the cone at a point \(3\) cm from the apex (i.e., \(5\) cm from the base of the cone) and the part of the cone above the plane is removed.

Question Parts

( a )
Find the total surface area of the original solid (include the bottom of the cylinder).
( b )
Find the total volume of the original solid.
( c )
After the top part of the cone is removed, find the total surface area of the remaining solid.
( d )
Find the volume of the removed top part of the cone.

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Neco 2017 Mathematics Question 7. It is one of the essay questions from the 2017 Neco Mathematics examination.

The question covers mensuration, surface area, volume, solid geometry .

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support