A uniform solid hemisphere \(H\) has radius \(r\) and centre \(O\)
- Show that the centre of mass of \(H\) is \(\frac { 3 r } { 8 }\) from \(O\)
$$\left[ \text { You may assume that the volume of } H \text { is } \frac { 2 \pi r ^ { 3 } } { 3 } \right]$$
A uniform solid \(S\), shown below in Figure 3, is formed by attaching a uniform solid right circular cylinder of height \(h\) and radius \(r\) to \(H\), so that one end of the cylinder coincides with the plane face of \(H\).
The point \(A\) is the point on \(H\) such that \(O A = r\) and \(O A\) is perpendicular to the plane face of \(H\)
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\caption{Figure 3}
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