Mathematics 0580 · IGCSE · Surface area and volume
Surface area and volume — practice question
A solid metal sphere sits inside a cube, and it touches every face of the cube. The cube has side length 8 cm.
(a)[1]
Show that the sphere’s volume is $\frac{256}{3}\pi$ cm$^3$.
(b)[3]
Calculate the percentage of the cube that is not occupied by the sphere.
(c)[2]
Calculate the mass of the sphere. Give your answer in kilograms.
(d)[4]
Calculate the total surface area of the cylinder.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “\(\frac{4}{3}\times\pi\times4^{3}=\frac{256}{3}\pi\) ” …