4400 Higher June 2010 Paper 3 Q11
11
Diagram NOT accurately drawn
The diagram shows a fish bowl.
The water surface is a circle with a diameter of 16 cm.
(a) Work out the area of a circle with a diameter of 16 cm.
Give your answer correct to 3 significant figures. (2)
Give your answer correct to 3 significant figures. (2)
(b) The volume of water, \(V\) cm3, in the fish bowl may be found using the formula \[V = \frac{1}{6}\pi h(3x^2 + 3y^2 + h^2)\] Find the value of \(V\) when \(h = 16.4\), \(x = 6.5\) and \(y = 8\)
Give your answer correct to 3 significant figures. (2)
Give your answer correct to 3 significant figures. (2)
| Scheme | Marks |
|---|---|
| \(\pi \times 8^2\) | M1 |
| 201 | A1 |
| (2) |
Notes
A1: for ans rounding to 201 (\(\pi\) → 201.061... 3.14 → 200.96)
| Scheme | Marks |
|---|---|
| eg 8.5870... × 587.71 | M1 |
| 5050 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: for correct evaluation of at least 2 of the terms inside the brackets (126.75, 192, 268.96 accept if rounded or truncated to at least 3sf) or for correct evaluation of brackets (587.71 – accept 587, 588 or 587.7)
A1: Accept any answer in the range 5040–5050 inclusive.
(\(\pi\) → 5046.677... 3.14 → 5044.119...)