Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The diagrams display a cube, a cylinder and a hemisphere. Each solid has volume $2000\text{ cm}^3$. In the cylinder, the diameter is shown as 10 cm and the height is labelled $h$. In the hemisphere, the radius is labelled $r$. The diagrams are marked NOT TO SCALE.
(a(i))[2]

Work out the height, $h$, of the cylinder.

(a(ii))[3]

Work out the radius, $r$, of the hemisphere.

(a(iii))[3]

Work out the surface area of the cube.

(b(i))[2]

Calculate the area of the triangle.

(b(ii))[5]

Calculate the perimeter of the triangle and show that it is 23.5 cm, correct to 1 decimal place. Show all your working.

(c)[3]

Calculate the value of $c$.

Worked solution & mark scheme

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