A solid model is formed by joining a cone to a hemisphere.


The height of the cone is 15 cm. The base of the cone and the hemisphere both have a diameter of 12 cm.
Work out the total volume of the solid model.
Give your answer in terms of π\piπ.
Practise OCR GCSE Maths Spheres and Cones with exam-style questions for Foundation and Higher tier. 25 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.