(a(i))[2]
Determine the length of the major arc $AB$.
(a(ii))[2]
Determine the area of the major sector $AOB$.
(b(i))[2]
Determine the external surface area of this part of the funnel.
(b(ii)(a))[2]
Demonstrate that the radius of the cylinder is $0.578\text{ cm}$, correct to $3$ significant figures.
(b(ii)(b))[2]
Determine the external curved surface area of this cylinder.
(b(ii)(c))[2]
Determine the volume of this cylinder.