A snack container has a cylindrical shape. The diameter of the base is \(7.84\,{\text{cm}}\). The height of the container is \(23.4\,{\text{cm}}\). This is shown in the following diagram.

Write down the radius, in \({\text{cm}}\), of the base of the container.

Calculate the area of the base of the container.

Dan is going to paint the curved surface and the base of the snack container.

Calculate the area to be painted.

\(3.92\,({\text{cm}})\)        (A1)    (C1)

\(\pi  \times {3.92^2}\)             (M1)

\( = 48.3\,{\text{c}}{{\text{m}}^2}\,\,\,(15.3664\,\pi \,{\text{c}}{{\text{m}}^2},\,\,48.2749...\,{\text{c}}{{\text{m}}^2})\)              (A1)(ft)         (C2)

Note: Award (M1) for correct substitution in area of circle formula. Follow through from their part (a). The answer is \(48.3\,{\text{c}}{{\text{m}}^2}\), units are required.

\(2 \times \pi  \times 3.92 \times 23.4 + 48.3\)        (M1)(M1)

\(625\,{\text{c}}{{\text{m}}^2}\,\,\,(624.618...\,{\text{c}}{{\text{m}}^2})\)                  (A1)(ft)    (C3)

Note: Award (M1) for correct substitution in curved surface area formula, (M1) for adding their answer to part (b). Follow through from their parts (a) and (b). The answer is \(625\,{\text{c}}{{\text{m}}^2}\), units are required.

Question 11: Cylinder base area and curved surface area.

In responses to this question, units were sometimes missing or the wrong units were given. The question explicitly asked for the base and curved surface area but many gave both the top and bottom as well as the curved surface area, or omitted the ends.

Question 11: Cylinder base area and curved surface area.

In responses to this question, units were sometimes missing or the wrong units were given. The question explicitly asked for the base and curved surface area but many gave both the top and bottom as well as the curved surface area, or omitted the ends.

Question 11: Cylinder base area and curved surface area.

In responses to this question, units were sometimes missing or the wrong units were given. The question explicitly asked for the base and curved surface area but many gave both the top and bottom as well as the curved surface area, or omitted the ends.