Exam-Style Question on Mensuration
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 19. This question is similar to one that appeared on an IB Studies paper in 2012. The use of a calculator is allowed.
A solid metal cylinder has a base radius of 5cm and a height of 9cm.
(a) Find the area of the base of the cylinder.
(b) Find the volume of the metal used in the cylinder.
(c) Find the total surface area of the cylinder.
The cylinder was melted and recast into a solid cone with a circular base radius, OB (where O is the centre of the circle), of 7cm. The vertex of the cone is the point C.
(d) Find the height, OC, of the cone.
(e) Find the size of angle BCO.
(f) Find the slant height, CB.
(g) Find the total surface area of the cone.
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
©1997 - 2019 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/