Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The diagram depicts a cylindrical coffee container used in a hotel. Its height is 50 cm and its radius is 18 cm.
(a(i))[2]

Calculate the volume of the cylinder and show that it rounds to $50900\text{ cm}^3$, correct to 3 significant figures.

(a(ii))[3]

Calculate the height, h, of the empty space in the container.

(a(iii))[4]

Calculate the greatest number of these cups that can be filled completely from the 30 litres of coffee in the container.

(b(i))[3]

Calculate the radius, r, and show that it rounds to 3.3 cm, correct to 1 decimal place.

(b(ii))[4]

Calculate the cone's curved surface area.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate volume calculation

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