Higher June 2022 Paper 2 Q8
8.
Diagram not drawn to scale
A wedge is cut from a cylinder of cheese of radius 7 cm and height 5 cm.
The volume of this wedge is 154 cm3.
What percentage of the whole cheese is this wedge? [4]
| Scheme | Marks | Comments |
|---|---|---|
| (Vol of whole cheese =) \(\pi \times 7^2 \times 5\) | M1 | |
| 769.69 to 769.79 | A1 | Accept \(245\pi\) Allow 770 from correct working |
| \(\dfrac{154}{769.69}\ (\times 100)\) | m1 | FT ‘their derived 769.69’ Award for \(\left(1 - \dfrac{245\pi - 154}{245\pi}\right)\) (× 100) or equivalent complete method |
| 20(....%) | A1 |
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| Angle of sector = \(\dfrac{154}{\pi \times 7^2 \times 5} \times 360\) | M1 | |
| 72.(0…) | A1 | May be embedded in further work |
| \(\dfrac{72}{360}\ (\times 100)\) | m1 | FT ‘their derived 72°’ |
| 20(....%) | A1 |
| (4) |