| Exam Board | OCR |
| Module | C3 (Core Mathematics 3) |
| Year | 2011 |
| Session | January |
| Topic | Non-constant acceleration |
3 A giant spherical balloon is being inflated in a theme park. The radius of the balloon is increasing at a rate of 12 cm per hour. Find the rate at which the surface area of the balloon is increasing at the instant when the radius is 150 cm . Give your answer in \(\mathrm { cm } ^ { 2 }\) per hour correct to 2 significant figures.
[0pt]
[Surface area of sphere \(= 4 \pi r ^ { 2 }\).]