A rectangular piece of paper $ABCD$ is formed into an open cylinder by making edge $AB$ meet edge $DC$. $AD = 28\,\text{cm}$ and $AB = 20\,\text{cm}$.
(a(i))[2]
Show that the cylinder radius is $4.46\,\text{cm}$, correct to $3$ significant figures.
(a(ii))[2]
Calculate the cylinder's volume.
(a(iii))[3]
Calculate the angle made by $AN$ with the base of the cylinder.
(b)[5]
Calculate the cone's slant height.
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