Foundation June 2017 Paper 3 Q22
22
A sculpture is formed from a cylinder resting on top of a cuboid.
The cylinder has radius 45 cm and height 80 cm.
The cuboid measures 90 cm by 90 cm by 150 cm.
The sculpture is made of granite.
The granite has a density of 2.7 g/cm\(^3\).
Calculate the total mass of the sculpture in tonnes. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 4.653 to 4.655 or 4.65 or 4.7 or 5 | 5 | Volume of cuboid M1 for \(90 \times 90 \times 150\) soi 1 215 000 Volume of cylinder M1 for \(\pi \times 45^2 \times 80\) soi 508 680 to 509 004 Total volume M1 for their 1 215 000 + their 508 938.1 soi 1 723 680 to 1 723 938.1 Find mass using density M1 for any of their volumes \(\times\) 2.7 | Answers of 4.7 or 5 require supporting working Answers from values of \(\pi\) \(\pi\) = 508 938.0099 3.142 = 509 004 3.14 = 508 680 Their volumes must be seen to come from the product of three relevant lengths Dependent on a calculated volume for cuboid, cylinder or total If total consists of one volume and one non-volume but is \(\times\) 2.7, final M1 scored |