## Exam Style Question## Worked solutions to typical exam type questions that you can reveal gradually |

Question id: 19. This question is similar to one that appeared in 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

If you need more practice try the self-checking interactive exercises called Surface Area and Volume.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

The solutions to the questions on this website are only available to those who have a Transum Subscription.

Exam-Style Questions Main Page

To search the **entire Transum website** use the search box in the grey area below.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

©1997 - 2018 Transum Mathematics :: For more exam type questions and worked solutions go to Transum.org/Maths/Exam/