1MA0 Higher June 2014 Paper 2 Q25
25 The diagram shows a solid made from a hemisphere and a cone.
Diagram NOT accurately drawn
The radius of the hemisphere is 4 cm.
The radius of the base of the cone is 4 cm.
Calculate the volume of the solid.
Give your answer correct to 3 significant figures. (3)
| Answer | Mark | Notes |
|---|---|---|
| 302 | 3 | M1 for \(\dfrac{1}{2} \times \dfrac{4}{3} \times \pi \times 4^3\) oe (= 133.9 – 134.2) M1 for \(\dfrac{1}{3} \times \pi \times 4^2 \times 10\) oe (= 167.4 – 167.7) A1 for 301 – 302 (or \(96\pi\) or \(\dfrac{288}{3}\pi\)) |