(a)[2]
The ventilation shaft has a cylindrical shape, with radius $0.4\,\text{m}$ and length $15\,\text{m}$. Calculate the volume of the cylinder.
(b)[4]
The tunnel cross-section is a major segment of a circle with radius $4.5\,\text{m}$ and angle $\angle A\hat{O}B=110^\circ$. Calculate the area of the cross-section.
(c)[2]
The tunnel measures $1750\,\text{m}$ long. A car travels through it at $45\,\text{km h}^{-1}$. Work out the time taken in minutes and seconds.
(d)[4]
Calculate the bearing of $T$ from $Q$ if $QT=720\,\text{m}$, $PT=450\,\text{m}$ and $T$ lies on a bearing of $062^\circ$ from $P$.