Mathematics 4024 · O Level · Surface area and volume
Surface area and volume — practice question
A solid is made by attaching a cone of radius $4.5\text{ cm}$ and height $7.6\text{ cm}$ to a hemisphere of radius $4.5\text{ cm}$.
(a)[2]
Calculate the area of the circular face where the two parts meet.
(b)[2]
Calculate the volume of the whole solid.
(c)[2]
A second solid of this type is produced by attaching a cone of radius $5\text{ cm}$ and height $h\text{ cm}$ to a hemisphere of radius $5\text{ cm}$. The cone and hemisphere have the same volume. Calculate the height of the cone.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Area formula: $A=\pi r^2$” …