Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D

Pythagoras' theorem and trigonometry in 3D — practice question

(a(i))[3]

Calculate the volume occupied by the water in the tank. Give your answer correct to the nearest $10\,\text{cm}^3$.

(a(ii))[5]

Calculate the volume of water now remaining in the tank.

(b)[3]

Calculate the mass of the stone in grams.

(c)[4]

Calculate the angle formed by $AG$ with the base of the cuboid.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $\dfrac{1}{2}\pi r^2$ when $r=122$

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