Mathematics 4024 · O Level · Surface area and volume
Surface area and volume — practice question
Solids, together with volume, surface area, and bounds.
(a(i))[4]
A hemisphere and a cylinder have equal volume. Show that the radius of the hemisphere is $7.86\text{ cm}$, correct to $2$ decimal places.
(a(ii))[3]
Calculate the solid’s total surface area.
(b)[2]
A cuboid is $8\text{ cm}$ by $4\text{ cm}$ by $6\text{ cm}$, correct to the nearest centimetre. Calculate the lower bound of the volume of the cuboid.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The equation is $\pi(\frac{9}{2})^2 16 = \frac12 \times \frac43 \pi r^3$” …