Higher November 2023 Paper 3 Q21

AQACurrent spec3 marksDrawing & Using Graphs

21 Water flows from a tap at a constant rate.

A container is filled with water from the tap in 40 seconds.

The graph shows the height, \(h\) centimetres, of the water after time, \(t\) seconds.

Graph of Height h (cm) from 0 to 15 against Time t (s) from 0 to 40; the curve rises steeply at first, levels off to about 7 cm at 20 seconds, then rises more steeply to 14 cm at 40 seconds
(a) The container is one of these shapes.

Circle the letter of the correct shape. [1 mark]

Four containers: A a cylinder, B narrow in the middle and wide at the top and bottom, C a cone-shaped container wide at the bottom and narrow at the top, D a round bowl wide in the middle and narrower at the top and bottom
(b) By drawing a tangent on the graph, estimate the rate at which the height is increasing when \(\;t = 10\) [2 marks]
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