Mathematics 4024 · O Level · Surface area and volume
Surface area and volume — practice question
Points A, B, C and D lie on the circle with centre $O$.
$\angle BAD = 68^\circ$ and $\angle CBO = 52^\circ$.
(a)[3]
Find the value of $\angle CDO$.
(b(i))[4]
The cross-section of solid $A$ is a sector of a circle with radius 6 cm and angle $40^\circ$.
The height of solid $A$ is 5 cm.
Calculate the total surface area of solid $A$.
(b(ii))[2]
Solid $B$ is mathematically similar to solid $A$.
The ratio volume of solid $A$ : volume of solid $B$ = $27 : 1$.
Calculate the surface area of solid $B$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Application of angle sum or circle theorem” …