1MA0 Higher November 2014 Paper 1 Q20
20 The diagram shows a solid shape.
Diagram NOT accurately drawn
The solid shape is made from a cylinder and a hemisphere.
The radius of the cylinder is equal to the radius of the hemisphere.
The cylinder has a height of 10 cm.
The curved surface area of the hemisphere is \(32\pi\) cm\(^2\).
Work out the total surface area of the solid shape.
Give your answer in terms of \(\pi\). (5)
| Answer | Mark | Notes |
|---|---|---|
| \(128\pi\) | 5 | M1 for \(\dfrac{4\pi r^2}{2} = 32\pi\) oe A1 for \((r =)\) 4 M1 for \(2 \times \pi \times \text{``}4\text{''} \times 10\) \((= 80\pi)\) or \(\pi \times \text{``}4\text{''}^2\) \((= 16\pi)\) or ft their \(r\) M1 for \(32\pi + \text{``}80\pi\text{''} + \text{``}16\pi\text{''}\) oe or 402.1 − 402.3 or ft their \(r\) A1 cao |