Mathematics 0580 · IGCSE · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The diagram depicts the larger segment of a circle with centre $O$ and radius $2.5\text{ m}$. This segment forms the cross-section of a tunnel whose height is $3\text{ m}$. The tunnel is $800\text{ m}$ long and its cross-section is constant along the whole length. The diagram is marked NOT TO SCALE.

(main)[7]

Calculate the tunnel’s volume.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Segment area $12.29$ to $12.31$” …

Full mark scheme, point by point
Step-by-step worked solution
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