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Find how far the centre of mass of the object is from $A$. \\[The hemisphere volume formula is $\frac{2}{3}\pi r^3$.]
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
The diagram presents a cross-section taken through the centre of mass of a uniform solid body. This body is a cylinder with radius $0.2\,\text{m}$ and length $0.7\,\text{m}$, and a hemisphere of radius $0.2\,\text{m}$ has been cut away from one end. Point $A$ marks the centre of the plane face at the opposite end of the body.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Find the volumes for the two parts: cylinder $= \pi(0.2^2)(0.7)$ and hemisphere $= 2\pi\frac{0.2^3}{3}$” …
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