(a)[3]
The sketch depicts a hemisphere with radius $6\text{ cm}$. Work out its volume. Include the units in your answer. [For a sphere of radius $r$, the volume is $V = \frac{4}{3}\pi r^3$.]
(b(i))[6]
The diagram is of prism $ABCDEF$. Its cross-section is the right-angled triangle $BCD$. Here $BD = 10\text{ cm}$, $BC = 5.2\text{ cm}$ and $ED = 18\text{ cm}$. Find the volume of the prism.
(b(ii))[4]
Calculate angle $BEC$.
(b(iii))[3]
Point $G$ is on the line $ED$, with $GD = 7\text{ cm}$. Find angle $BGE$.