1MA0 Higher November 2015 Paper 1 Q19
19
Diagram NOT accurately drawn
The diagram shows a solid shape.
The solid shape is made from a hemisphere and a cone.
The radius of the hemisphere is equal to the radius of the base of the cone.
The cone has a height of 10 cm.
The volume of the cone is \(270\pi\) cm\(^3\).
Work out the total volume of the solid shape.
Give your answer in terms of \(\pi\). (5)
| Answer | Mark | Notes |
|---|---|---|
| \(756\pi\) | 5 | M1 for \(\tfrac{1}{3}\pi r^2 \times 10\) \((= 270\pi)\) A1 for \(r = 9\) M1 (dep on M1) for \(\dfrac{1}{2} \times \dfrac{4}{3}\pi \times \text{``}9\text{''}^3\) \((= 486\pi)\) M1 for \(270\pi + \text{``}486\pi\text{''}\) oe A1 cao |