Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The diagrams depict a hemispherical bowl, a cylindrical tin and a cone.
(a(i))[2]

Show that the bowl’s volume is $368\text{ cm}^3$, correct to the nearest cm$^3$.

(a(ii))[4]

Calculate the radius of the tin.

(b(i))[5]

Calculate the total surface area of the cone.

(b(ii)(a))[4]

Show that the volume of the salt inside the cone is $18.9\text{ cm}^3$, correct to 1 decimal place.

(b(ii)(b))[3]

Calculate the time taken for the cone to be completely emptied, in seconds.

Worked solution & mark scheme

This 18-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac12\times\frac43\pi\times5.6^3$

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