| Exam Board | OCR |
| Module | C3 (Core Mathematics 3) |
| Year | 2015 |
| Session | June |
| Topic | Non-constant acceleration |
3 The volume, \(V\) cubic metres, of water in a reservoir is given by
$$V = 3 ( 2 + \sqrt { h } ) ^ { 6 } - 192 ,$$
where \(h\) metres is the depth of the water. Water is flowing into the reservoir at a constant rate of 150 cubic metres per hour. Find the rate at which the depth of water is increasing at the instant when the depth is 1.4 metres.