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Calculate $d$, the water depth.
Mathematics 0580 · IGCSE · Compound shapes and parts of shapes
Compound shapes and parts of shapes — practice question
A container is constructed from a cylinder and a cone, and each has radius 5 cm. The cylinder has height 12 cm, whereas the cone has height 4.8 cm. The diagram shows the container (NOT TO SCALE).
The cylinder is fully filled with water. The container is then inverted, as shown below (NOT TO SCALE).
For a cone with radius $r$ and height $h$, the volume $V$ is $V = \frac{1}{3} \pi r^2 h$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Depth expression: $\frac{(\pi\times5^2\times12-\frac{1}{3}\pi\times5^2\times4.8)}{\pi\times5^2}$” …
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