(a(i))[2]
Calculate the external curved surface area of a cylinder whose radius is $8\text{ m}$ and whose height is $19\text{ m}$.
(a(ii))[2]
This surface is painted at a rate of $\$0.85$ for each square metre. Calculate the cost of painting this surface.
(b(i))[2]
Show that $h = 13.5$.
(b(ii))[2]
Calculate the slant height of the cone.
(b(iii))[1]
Calculate the curved surface area of the cone.
(c)[3]
Two cones are mathematically similar. The total surface area of the smaller cone is $80\text{ cm}^2$. The total surface area of the larger cone is $180\text{ cm}^2$. The volume of the smaller cone is $168\text{ cm}^3$. Calculate the volume of the larger cone.
(d)[3]
Calculate the angle between $PB$ and the base $ABCD$.