Paper 4 October/November 2007 MATHEMATICH (9709/4) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

A uniform solid consists of a hemisphere with centre $O$ and radius $0.6{\text{ }}m$ joined to a cylinder of radius $0.6{\text{ }}m$ and height $0.6{\text{ }}m$. The plane face of the hemisphere coincides with one of the plane faces of the cylinder.
a) Calculate the distance of the centre of mass of the solid from $O$.
[The volume of a hemisphere of radius $r$ is $\frac{2}{3}\pi {r^3}$]
b) A cylindrical hole, of length $0.48{\text{…