Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A uniform solid cone has height $0.6\,\text{m}$ and base radius $0.2\,\text{m}$. A uniform hollow cylinder, open at both ends, has the same dimensions. The cone is placed inside the cylinder so that the cone’s base matches one end of the cylinder (see the diagram, which is a cross-section). The object has total weight $60\,\text{N}$ and its centre of mass lies $0.25\,\text{m}$ from the base of the cone.
(main)[3]

Calculate the cone’s weight.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Moment equation taken about the base of the cone: $0.15W+0.3(60-W)=0.25\times60$.

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