1MA0 Higher November 2016 Paper 2 Q21
*21 Anne wants to fill 12 hanging baskets with compost.
Each hanging basket is a hemisphere of diameter 40 cm.
Anne has 4 bags of compost.
There are 50 litres of compost in each bag.
Has Anne got enough compost to fill the 12 hanging baskets? (4)
| Answer | Mark | Notes |
|---|---|---|
| No with explanation and supportive working | 4 | M1 for method to find the volume of compost needed to fill one or more baskets eg \(\dfrac{2}{3} \times \pi \times 20^3\) (= 16755(.16…)) Or \(\dfrac{4}{3} \times \pi \times 20^3\) (= 33510(.32…)) M1 for appropriate use of 1 litre = 1000 cm\(^3\), eg \(4 \times 50 \times 1000\) (= 200000) or \(\text{``}16755\text{''} \div 1000\) M1 for complete method to find values needed to make decision C1 for conclusion supported by correct values, eg 200000 and 201061(.92...) (accept 201000 to 201120) or 16666(.66…) and 16755(.16…) or 11.9(36...) NB Calculations can be in litres or cm\(^3\) |