O-LevelMathematicsMensuration4024/12 · Oct/Nov 2025 · Q185 Marks
The diagram shows a solid cylinder and a solid hemisphere. [Figure: Cylinder with height 6cm. Hemisphere. NOT TO SCALE] The radius of the cylinder is equal to the radius of the hemisphere. The volume of the cylinder is equal to the volume of the hemisphere. The height of the cylinder is 6 cm. Calculate the total surface area of the hemisphere. Give your answer in terms of π.
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [5] 243π
- [5] B3 for r = 9
- [5] M2 for πr² × 6 = (2/3)πr³ oe
- [5] M1 for πr² × 6 oe or (2/3)πr³ oe
- [5] M1 for (1/2) × 4π × (their 9)² + π × (their 9)² oe
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →