Mathematics 4024 · O Level · Surface area and volume
Surface area and volume — practice question
The diagram shows a solid made by attaching a cone to a hemisphere. The cone has diameter $14\text{ cm}$ and the hemisphere has diameter $14\text{ cm}$. The solid has a total height of $24\text{ cm}$.
(a)[3]
Calculate the volume of the solid shown.
(b)[5]
Show that the solid has a total surface area of $712\text{ cm}^2$, correct to the nearest integer.
(c)[3]
A smaller solid is mathematically similar to this solid. Its total surface area is $242\text{ cm}^2$. Calculate the total height of the smaller solid.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$1590$ to $1591$” …