(a(i))[2]
Calculate the arc length of $AB$.
(a(ii))[2]
Calculate the area enclosed by sector $OAB$.
(b(i))[1]
The sector $OAB$ from part (a) makes up the cross-section of a slice of cheese. The slice has a height of $5\text{ cm}$. Calculate the volume of this cheese slice.
(b(ii))[3]
Calculate the total surface area of the cheese slice.
(b(iii))[2]
For another $25^{\circ}$ slice of cheese, the height is $3$ times as large and the radius is doubled. Calculate its volume.
(c(i))[1]
A dairy makes cylindrical cheeses, each with volume $800\text{ cm}^3$. The height is $h$ cm and the radius is $r$ cm, and both may vary. Express $h$ in terms of $r$.
(c(ii))[1]
What happens to the height when the radius is doubled?