Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

This object is obtained by taking a uniform solid hemisphere of radius $0.56\ \text{m}$ with centre $O$ and cutting out a hemisphere of radius $0.28\ \text{m}$, also centred at $O$. The diagram gives a cross-section of the object through $O$.
(i)[4]

Calculate the distance of the centre of mass of the object from $O$. [The volume of a hemisphere is $\frac{2}{3}\pi r^3$]

(ii)[3]

Calculate the weight of $H$.

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