Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

(a(i))[2]

Calculate the volume of a solid cylinder with radius 6 cm and height 14 cm.

(a(ii))[2]

Calculate the volume of a solid hemisphere with radius 6 cm.

(b(i))[1]

Show that $1\text{ cm}^3$ of steel has a mass of 0.00785 kg.

(b(ii))[2]

Calculate the total mass of the solid.

(c(i))[3]

Calculate the percentage of iron that is left over.

(c(ii))[1]

Calculate the length of an edge of the cube.

(d)[4]

Given that $R = kx$, find the value of $k$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate calculation $\pi \times 6^2 \times 14$

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