(i)[4]
Calculate the distance from the vertex of the cone to the centre of mass of the object. [The volume of a cone is $\frac{1}{3}\pi r^2 h$.]
(ii)[3]
Find the largest possible value of $k$ for which the object remains upright.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A single solid body is formed by joining a cone to a cylinder so that the base circumference of the cone matches the flat circular face of the cylinder. Both the cone and the cylinder have radius $0.3\,\text{m}$ and height $0.4\,\text{m}$.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Makes an attempt to take moments about the vertex of the cone” …
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